b192ltu.diva-portal.org/smash/get/diva2:1011918/fulltext01.pdf · lectures of plenary and invited...

Analysis, Inequalities and Homogenization Theory

(AIHT)

– midnightsun conference in honour of Professor

Lars-Erik Persson

on the occasion of his 65th birthday

June 8-11, 2009, Lulea,

SWEDEN

Website: http://www.math.ltu.se/aiht/

Organizers: Lech Maligranda (Chairman)Annette Meidell (vice Chairman)John Fabricius (Secretary)Maria JohanssonDag LukkassenThomas StrombergNils SvanstedtInge SoderkvistPeter Wall

Main lecture room: B192Rooms with lectures in sections: D235, D237, D241, D243

Grants: Annette Meidell+Nils Svanstedt+Dag Lukkassen+Lech M.+Peter WallWebsite and correspondence: John Fabricius+Lech M.Canteen+banquet: Maria JohanssonRegistration: Lech M.+Maria Johansson+Mikaela Rohdin+John Fabricius+Zamira

AbdikalikovaConference materials: Lech M.+Maria JohanssonInformation guideposts: Thomas StrombergInternet in the library: Hans Johansson and Staffan LundbergInstruction for WLAN access:

Domain: LTU.SE (capital letters!)User: visitor025

Password: ttuE4bmn

1

Responsible for rooms: B192 Ove Edlund, D235 Thomas Gunnarsson,D237 Lennart Kalberg, D241 Mikael Stendlund, D243 room for discussions;Staffan Lundberg will help with computer for all in D235-D241

Speakers and program: Lech M.+Peter Wall+Thomas StrombergPhotos at the conference: Zamira AbdikalikovaExcursion: Lech M+Peter WallCollection and help at Kallax airport for all participants on Sunday (7 June 2008) from14.00–24.00: LEP+Lech M.+Hans Johansson

2

Program

Main program

Lectures of plenary and invited speakers take place in the main lecture room B192.

Monday, June 88.00-12.00 Registration at the LTU information desk in the B-

building.9.00-9.10 Opening ceremony in B192Chairman: Maria Carro9.10-10.00 Lech Maligranda, ”Lars-Erik Persson – the man and

his work”10.05-10.55 Alois Kufner, ”Weighted inequalities and spectral

analysis”10.55-11.15 Coffee breakChairman: Gregory Chechkin11.15-12.05 Gianni Dal Maso, ”Quasistatic crack growth in finite

elasticity with non-interpenetration”12.10-12.40 Nils Svanstedt, ”From G- to Σ-convergence – An un-

folding journey in homogenization theory”12.40-14.00 LunchChairman: Vladimir Stepanov14.00-14.50 Anna Kaminska, ”Isomorphic copies in the lattice

E and its symmetrization E∗ with applications toOrlicz-Lorentz spaces”

14.55-15.25 Josip Pecaric, ”Generalizations of classical quadra-ture formulas and related inequalities”

15.30-16.00 Gunnar Sparr, ”On a theorem of Hardy-Littlewood-Polya and its implications for interpolation functions”

16.00-16.30 Coffee break16.30-18.30 Sections

3

Tuesday, June 9Chairman: Bjorn Birnir9.00-9.50 Gregory Chechkin, ”Asymptotics and estimatesof so-

lutions to the Prandtl’s system of equations in mi-croinhomogeneous boundary layer”

9.50-10.40 Vladimir Stepanov, ”Hardy type inequalities: recentprogress and applications”

10.40-11.00 Coffee breakChairman: Alois Kufner11.00-11.30 Sten Kaijser, ”Convexity in finite dimensions, identi-

ties and inequalities”11.30-12.00 Thomas Stromberg, ”Viscosity solutions of fully non-

linear PDEs”12.00-12.30 Ryskul Oinarov, ”Weighted inequalities and oscilla-

tion properties of quasilinear differential equations”12.30-14.00 LunchChairman: Anna Kaminska14.00-14.50 Maria Carro, ”Rubio de Francia’s extrapolation the-

orem for Bp weights”15.00-15.30 Ludmila Nikolova, ”On Edmunds-Triebel logarithmic

spaces”15.30-16.00 Coffee break16.15-16.30 Break16.00-17.20 Sections19.00-24.00 Dinner reception

4

Wednesday, June 10Chairman: Gianni Dal Maso9.00-9.50 Bjorn Birnir, ”Existence, uniquness and statistical

theory of the stochastic Navier-Stokes equation inthree dimensions”

9.50-10.40 Andrey Piatnitski, ”Homogenization of a spectralproblem with sign-changing weight function”

10.40-11.00 Coffee breakChairman: Vakhtang Kokilashvili11.00-11.30 Gord Sinnamon, ”Sequence spaces connected with

the hypergeometric mean”11.30-12.00 Sorina Barza, ”Multidimensional Lorentz spaces and

inequalities”12.00-12.30 Constantin Niculescu, ”Convexity in spaces with a

global nonpositive curvature”12.30-14.00 LunchChairman: Gord Sinnamon14.00-14.30 Vakhtang Kokilashvili, ”Two weight inequalities for

integral operators in the various Banach functionspaces”

14.40-15.10 Victor Burenkov, ”Recent progress in studyingboundedness of the main operators of real analysisin general Morrey-type spaces”

15.20-15.50 Mikio Kato, ”Some recent results on the vonNeumann-Jordan constant for Banach spaces”

15.50-16.20 Coffee break16.20-19.00 Sections

Thursday, June 11Excursion8.30- Gammelstad (”Old Town”)

StorforsenArctic CircleLappish museum in Jokkmokk

16.00 Back at LTU

5

Sections program

The sections are scheduled in lecture rooms D235, D237, D241 and D243.

Monday Section A Section B Section CChairman: Constantin Niculescu Sten Kaijser Nils Svanstedt16.30-16.50 Roman Ger, On some

orthogonalities in Ba-nach spaces

Anna Wedestig, Onthe two-dimensionalHardy inequality

Emmanuel K. Essel,Multiscale homog-enization appliedin hydrodynamiclubrication

16.55-17.15 Olvido Delgado,Summability on Ba-nach function spacesand multiplicationoperators

Dmitry Prokhorov,On the inequalities forthe Riemann-Liouvilleoperator involvingsuprema

Yulia Koroleva, Onthe Friedrichs in-equality in a cubeperforated periodi-cally along the part ofthe boundary

17.20-17.40 Enrique A. Sanchez-Perez, Factorizationtheorems for functionsbelonging to Banachfunction spaces

Komil Kuliev, Somecharacterizing con-ditions of Hardy’sand reverse Hardy’sinequalities

Zamira Abdikalikova,Compactness of Em-bedding betweenSobolev type spaceswith multiweightedderivatives

17.45-18.05 Kichi-Suke Saito,Dual of two di-mensional Lorentzsequence spaces andthe James constant

Maria Nasyrova, Onsome fractional orderHardy-type inequali-ties

Michael L. Goldman,On optimal embed-ding of generalizedBessel and Rieszpotentials

18.10-18.30 Anca-Nicoleta Mar-coci, Some appli-cations of levelsequences to estimateequivalent norms inLorentz sequencesspaces

Pankaj Jain, GrandLebsgue spaces andweighted norm in-equalities

Victor F. Payne, En-ergy decay rate for thevon Karman system ofa thermoelastic platewith a cut-out

6

Tuesday Section A Section B Section CChairman: Gunnar Sparr Josep Pecaric Mikio Kato16.00-16.20 Masatoshi Fujii, Bohr

inequality for opera-tors

Wlodzimierz Fechner,Functional characteri-zation of a sharpeningof the triangle inequal-ity

Kazimierz Nikodem,On quasiconvexfunctions and Kara-mardian’s theorem

16.25-16.45 Yuki Seo, A reverse ofAndo-Hiai inequality

Ilko Brnetic, On re-verses of the triangleinequality

Sanja Varosanec,ThegeneralizedBeckenbach-Dresherinequality and relatedresults

16.50-17.10 Jadranka Micic Hot,Generalization of con-verses of Jensen’s op-erator inequality

Zywilla Fechner, Onsome integral gener-alization of the sine-cosine equation

Mario Krnic, Hilbertinequalities related togeneralized hypergeo-metric functions

Wednesday Section A Section B Section CChairman: Victor Burenkov Ludmila Nikolova Roman Ger16.20-16.40 Salvador Rodriguez, A

De Leeuw restrictionresult on multipliersfor rearrangement in-variant spaces

ShoshanaAbramovich, OnJensen’s inequalityfor superquadraticfunctions

Biserka Drascic Ban,Quotient mean series

16.45-17.05 Katsuo Matsuoka,On the weightedestimates of singularintegral operators onsome Herz spaces

Kristina Krulic, Anew class of generalrefined Hardy-typeinequalities withkernels

Dora Pokaz, A newgeneral Boas-type in-equality and relatedCauchy-type means

17.10-17.30 Maria Pilar SilvestreAlbero, Capacitaryfunction spaces

Ainur Temirkhanova,Boundedness of a cer-tain class of matrixoperators

Ambroz Civljak,Generalizations ofOstrowski inequalityvia Euler harmonicidentities for measures

17.35-17.55 Liviu-Gabriel Mar-coci, Remarks aboutsome Banach spacesof analytic matrices

Andrea Aglic Alji-novic, Error boundsfor approximations ofthe Laplace transformof functions in Lpspaces

Miroslaw Adamek, Onsingle valuedness ofλ-convex set valuedmaps

18.00-18.20 Lyazzat Sarybekova,Lizorkin type theoremfor Fourier seriesmultipliers in regularsystems

Tamara V.Tararykova, TBA

Christopher A.Okpoti, WeightedInequalities of HardyType for MatrixOperators: The caseq < p

7

Plenary and invited speakers

1. Name: Sorina Barza

e-mail: [email protected]

Address: Department of Engineering Sciences Physics and Mathematics, Karlstad Uni-versity, SE - 651 88 Karlstad, Sweden

tel. 054-7001888Website: http://www.kau.se/om-universitetet/organisation/personal/detalj/1390

Talk: Multidimensional Lorentz spaces and inequalities

Abstract: Multidimensional Lorentz spaces and inequalities

Abstract: In the last decades the problem of characterizing the normability of weightedLorentz spaces has been completely solved. However the question for multidimensionalLorentz spaces is still open. In this talk I will speak about some progresses which havebeen made in this direction and also some useful complementary results as e.g. the bound-edness of the n-dimensional Hardy operator defined on the cone of decreasing functions ineach variable, separately. Some inequalities reflecting embeddings between different Lorentzspaces will be also pointed out.

Hotel: at Anna Wedestig apartment

Arrival to Lulea: June 5 2009 by train

Departure from Lulea: June 12 2009 by train

2. Name: Bjorn Birnir

e-mail: [email protected], [email protected]

Address: Department of Mathematics and Center for Complex and Nonlinear Science,University of California, Santa Barbara CA 93106, USA

tel. 805-893-4866

Website: http://www.math.ucsb.edu/∼birnir

Talk: Existence, uniquness and statistical theory of the stochastic Navier-Stokes equationin three dimensions

Abstract: We will discuss the existence of unique rough solution of the Navier-Stokes equationin three dimensions. These solutions are the result of noise that the equation produces at highReynolds numbers. They also give a unique invariant measure that permits the developmentof Kolmogorov’s statistical theory of turbulence.

Hotel: Scandic hotel

Arrival to Lulea: June 7 2009 at 14.40, SK010

Departure from Lulea: June 12 2009 at 10.00, SK005

8

3. Name: Victor Burenkov


Address: Department of Mathematics, Cardiff University, UK

tel. +44(0)29 208 75546

Talk: Recent progress in studying boundedness of the main operators of real analysis ingeneral Morrey-type spaces

Abstract: Let 0 < p, θ ≤ ∞ and let w be a non-negative measurable function on (0,∞).We denote by LMpθ,w, GMpθ,w, the local Morrey-type spaces, the global Morrey-type spacesrespectively, which are the spaces of all functions f ∈ Lloc

p (Rn) with finite quasi-norms∥∥w(r)‖f‖Lp(Br)

∥∥Lθ(0,∞)

, supx∈Rn

‖f(x + ·)‖LMpθ,w

respectively. (Here Br is the ball of radius r centered at the origin.) For w(r) = r−λp with

0 < λ < n the spaces GMp∞,w were introduced by C. Morrey in 1938 and appeared to bequite useful in various problems in the theory of partial differential equations.

A survey will be given of recent results in which, for some values of the parameters, necessaryand sufficient conditions are established ensuring the boundedness of the maximal operator,fractional maximal operator and Riesz potential as operators from one Morrey-type spaceto another one. Compared with the case of weighted Lp-spaces there are much more openproblems which will also be under discussion.

Hotel: Tinas (with wife in a double room)

Arrival to Lulea: provisional date June 7 - tickets are not bought yetDeparture from Lulea: provisional date June 13 - tickets are not bought yet

4. Name: Maria Carro


Address: Department of Applied Mathematics and Analysis, Faculty of Mathematics,University of Barcelona, Gran Via 585, E-08007 Barcelona, Spain

Website: http://www.mat.ub.es/∼carro/

Talk: Rubio de Francia’s extrapolation theorem for Bp weights

Abstract: In the 80’s, J.L. Rubio de Francia proved his celebrated extrapolation theoremconcerning the class Ap of Muckenhoupts weights. Since then this theory has been extendedto many other situations and has proved to be very useful in Harmonic analysis. We shall givean historic introduction of the main results and motivate the extension to the class of weightBp. Applications of this new result will be given. This is a joint work with M. Lorente.


Arrival to Lulea: June 7 at 21.25, flight nr SK002Departure from Lulea: June 12 at 07.05 flight nr SK003

9

5. Name: Gregory A. Chechkin


Address: Department of Differential Equations, Faculty of Mechanics and Mathematics,Moscow Lomonosov State University, 119991 Moscow, Russia

Website: http://ansatte.hin.no/gregch/

Talk: Asymptotics and estimates of solutions to the Prandtl’s system of equations inmicroinhomogeneous boundary layer

Abstract: We study homogenization problems for the Prandtl system of equations. Weconsider cases of magnetic hydrodynamics with rapidly oscillating injection and suction aswell as with rapidly oscillating magnetic field; also we study the behavior of boundary layernear the plate with oscillating surface. Assuming the presence of multiscale microstructure, weconstruct limit (homogenized) problems and prove convergence theorems. We also estimatethe difference between solutions to the original problems and the respective solutions to thehomogenized problems in weighted Sobolev norm and in the norm of the space of continuousfunctions

Hotel: Tinas (with wife in a double room)

Arrival to Lulea: June 7, 2009. By car from Moscow.Departure from Lulea: June 12, 2009. By car.

6. Name: Gianni Dal Maso


Address: International School for Advanced Studies (SISSA), Via Beirut 4, 34014 Trieste,Italy

Website: http://cvgmt.sns.it/people/dalmaso/

Talk: Quasistatic crack growth in finite elasticity with non-interpenetration

Abstract: We present a variational model for the quasistatic growth of brittle cracks inhyperelastic materials, in the framework of finite elasticity, taking into account the non-interpenetration condition.


Arrival to Lulea: June 7 2009, 18.50 SK16Departure from Lulea: June 12 2009, 10.50

7. Name: Sten Kaijser


Address: Department of Mathematics, Uppsala University, 751 06 Uppsala, Sweden

Website: http://www.math.uu.se/∼sten/

Talk: Convexity in finite dimensions, identities and inequalities

10

Abstract: I shall speak of some problems where ”almost” is in some sense good enough. Itcan be proved that if aknk=1 is a finite set of complex numbers then

max∣∣∑±ak

∣∣ ≥ 2

π

∑|ak|

and if all ak are real then of course max∣∣∑±ak

∣∣ =∑|ak|. I shall prove that if you are

not allowed all choices of plus and minus, but sufficiently many so that the first inequality isalmost true, then so is the second.

I shall also present a theorem of my student Guo Qi who proved that if a convex set is almostas non-symmetric as it can be, then it is close to the extreme case, namely a simplex.

Hotel: Tinas

Arrival to Lulea: June 7 at 15.20, SK012Departure from Lulea: June 10 at 10.00, SK005

8. Name: Anna H. Kaminska


Address: Department of Mathematical Sciences, The University of Memphis, Memphis,TN 38152-3240, USA

tel. 901 678 2494Website: http://www.msci.memphis.edu/faculty/kaminskaa.html

Talk: Isomorphic copies in the lattice E and its symmetrization E(∗) with applicationsto Orlicz-Lorentz spaces

Abstract: The paper is devoted to the isomorphic structure of symmetrizations of quasi-Banach ideal function or sequence lattices. The symmetrization E(∗) of a quasi-Banachideal lattice E of measurable functions on I = (0, a), 0 < a ≤ ∞, or I = N, consistsof all functions with decreasing rearrangement belonging to E. For an order continuousE we show that every subsymmetric basic sequence in E(∗) which converges to zero inmeasure is equivalent to another one in the cone of positive decreasing elements in E, andconversely. Among several consequences we show that, provided E is order continuous withFatou property, E(∗) contains an order isomorphic copy of `p if and only if either E containsa normalized `p-basic sequence which converges to zero in measure, or E(∗) contains thefunction t−1/p.

We apply these results to the family of two-weighted Orlicz-Lorentz spaces Λϕ,w,v(I) definedon I = N or I = (0, a), 0 < a ≤ ∞. This family contains usual Orlicz-Lorentz spacesΛϕ,w(I) when v ≡ 1 and Orlicz-Marcinkiewicz spaces Mϕ,w(I) when v = 1/w. We showthat for a large class of weights w, v, it is equivalent for the space Λϕ,w,v(0, 1), and for the non-weighted Orlicz space Lϕ(0, 1) to contain a given sequential Orlicz space hψ isomorphically asa sublattice in their respective order continuous parts. We provide a complete characterizationof order isomorphic copies of `p in these spaces over (0, 1) or N exclusively in terms of theindices of ϕ. If I = (0,∞) we show that the set of exponents p for which `p lattice embeds inthe order continuous part of Λϕ,w,v(I) is the union of three intervals determined respectivelyby the indices of ϕ and by the condition that the function t−1/p belongs to the space.

This is a joint work with Yves Raynaud from University VI in Paris, France.

11

Hotel: Scandic hotel (June 7-12); other nights at Anna Klisinska homeArrival to Lulea: June 4 2009 at 22.45, DY483Departure from Lulea: June 14 2009 at 14.00, DY472

9. Name: Mikio Kato


Address: Department of Basic Sciences, Kyushu Institute of Technology, Kitakyushu804-8550, Japan

Talk: Some recent results on the von Neumann-Jordan constant for Banach spaces

Abstract: Recently many geometric constants for a Banach space X have been investigated.In particular the von Neumann-Jordan constant CNJ(X) and the James constant J(X) aremost widely treated. The first result concerning the relation between these two constants isthe following inequalities by Kato-Maligranda-Takahashi [2]:

J(X)2

2≤ CNJ(X) ≤ J(X)2

1 + (J(X)− 1)2. (1)

Nikolova-Persson-Zachariades [3] (2004) improved the second inequality of (1):

CNJ(X) ≤ J(X)2

4+ 1 +

J(X)

4

√J(X)2 − 4J(X) + 8− 2

. (2)

In 2008 Alonso-Martın-Papini [1] improved this inequality, which in particular answered Ma-ligranda’s conjecture

CNJ(X) ≤ J(X)2

4+ 1. (3)

In 2009 Wang and Pang [5] presented a further improvement of (2). Covering all theseimprovements of the second inequality of (1), Takahashi and Kato [4] recently proved thatCNJ(X) ≤ J(X). Some related results will be also discussed.

As an ”appendix” we shall see some nice photos of Lars-Erik (in Japan).

References[1] J. Alonso, P. Martın and P. L. Papini, Wheeling around von Neumann-Jordan constant

in Banach spaces, Studia Math. 188 (2008), 135-150.[2] M. Kato, L. Maligranda and Y. Takahashi, On James, Jordan-von Neumann constants

and the normal structure coefficients of Banach spaces, Studia Math. 144 (2001), 275-295.

[3] L. Y. Nikolova, L. E. Persson and T. Zachariades, A study of some constants for Banachspaces, C. R. Acad. Bulg. Sci. 57 (2004), 5-8.

[4] Y. Takahashi and M. Kato, A simple inequality for the von Neumann-Jordan and Jamesconstants of a Banach space, submitted.

[5] F. Wang and B. Pang, Some inequalities concerning the James constant in Banach spaces,J. Math. Anal. Appl. 353 (2009), 305-310.

Hotel: Scandic hotelArrival to Lulea: June 7 2009 at 18:50, SK0016Departure from Lulea: June 12 at 10.00, SK0005

12

10. Name: Vakhtang Kokilashvili


Address: A. Razmadze Mathematical Institute, Georgian Academy of Sciences 1, M.Aleksidze St., Tbilisi 0193, Georgia

Website: http://www.rmi.acnet.ge/∼kokil/

Talk: Two weight inequalities for integral operators in the various Banach function spaces

Abstract: The goal of our lecture is to present a survey of author’s results on two-weightestimates criteria for various integral operators in Banach function spaces including spaceswith nonstandard growth condition.

For the sake of presentation, we have split the talk into following topics:

• Boundedness criteria for maximal functions and potentials, on the half-space in weightedvariable exponent Lebesgue spaces Lp(·).

• Two-weight norm estimates for singular integrals in Lp(·) spaces.

• One and two-weight estimates criteria for one-sided operators in variable exponent Lebesguespaces.

• Integral transforms with product kernels.

• Solution of trace problems for strong maximal functions and Riesz potentials with productkernels.

Some part of the lecture is based on joint research with A. Meskhi.

Hotel: Scandic hotelArrival to Lulea: 07.06.09, SK 2, 21.25Departure from Lulea: 13.06.09, SK 13, 14.20

11. Name: Alois Kufner


Address: Mathematical Institute, Czech Academy of Sciences, 115 67 Prague and De-partment of Mathematics, University of West Bohemia, 306 14 Plzen (Pilsen), CzechRepublic

Talk: Weighted inequalities and spectral analysis

Abstract: The Hardy inequality describes an imbedding of a certain weighted Sobolev space(with the weight function, say, v ) into a weighted Lebesgue space (with the weight, say,u ). We consider the spectral problem for a second order, nonlinear, degenerate and/orsingular differential equation where the weight functions u, v appear as coefficients. It will beshown that the properties of the spectrum are closely related to the imbedding mentioned.More precisely, the conditions on u, v which ensure the continuity (and compactness) of theimbedding coincide in some sense with the properties which guarantee that the spectrum hasthe so-called BD-property, i.e. it is bounded from below (and discrete). Similar results holdalso for higher order differential operators (and higher order Hardy inequalities). The resultspresented have been obtained in collaboration with P. Drabek.

13

Hotel: Scandic hotelArrival to Lulea: June 07 2009, 20.20, SK018Departure from Lulea: June 12 2009, 09.50, SK007

12. Name: Lech Maligranda


Address: Department of MathematicsLulea University of TechnologySE-971 87 Lulea, Sweden

tel. +46-920-491318 (office) +46-920-99164 (home)

Website: http://www.ltu.se/inst/mat/staff/1.2051

Talk: Lars-Erik Persson – the man and his work

Abstract: His life and mathematics in interpolation theory and inequalities will be presented.Special attention will be taken to our long cooperation (23 years) and joint results. Let memention here 2 books written jointly:

1. L. Larsson, L. Maligranda, J. E. Pecaric and L. E. Persson, Multiplicative Inequalitiesof Carlson Type and Interpolation, World Scientific, Singapore 2006, xiv+201 pp. (ISBN:981-256-708-9).

2. A. Kufner, L. Maligranda and L. E. Persson, The Hardy inequality – About its Historyand Some Related Results, Vydavatelski Servis Publishing House, Pilsen 2007, 162 pp.(ISBN: 978-80-86843-15-5).MR2351524 (2008j:26001) (Reviewer: B. Muckenhoupt).

Of course, description about his life with many photos, some sories and jokes will be included.

Office at the Lulea University of Technology: D2217, tel. 0920-491318

13. Name: Constantin P. Niculescu


Address: Department of Mathematics, University of Craiova, 200585 Craiova, Roma-nia

Web site: http://inf.ucv.ro/ niculescu/

Talk: Convexity in spaces with a global nonpositive curvature

Abstract: A global NPC space is a complete metric space M = (M, d) such that for everypair of points x0, x1 ∈ M there is a point y ∈ M for which

d2(z, y) ≤ 1

2d2(z, x0) +

1

2d2(z, x1)−

1

4d2(x0, x1) (NPC)

for all points z ∈ M . In a global NPC space each pair of points x0, x1 ∈ M can be connectedby a geodesic (that is, by a rectifiable curve γ : [0, 1] → M such that the length of γ|[s,t] isd(γ(s), γ(t)) for all 0 ≤ s ≤ t ≤ 1). Moreover, this geodesic is unique.

14

Trivial examples of global NPC spaces: a) Hilbert spaces ; b) Trees; c) The upper half-planeH= z ∈ C : Imz > 0, endowed with the Poincare metric, ds2 = (dx2 + dy2) /y2.

A subset C ⊂ M is called convex if γ([0, 1]) ⊂ C for each geodesic γ : [0, 1] → C joiningtwo points in C.

A function f : C → R is called convex if the function f γ : [0, 1] → R is convex wheneverγ : [0, 1] → C, γ(t) = γt, is a geodesic, that is,

f(γt) ≤ (1− t)f(γ0) + tf(γ1) for all t ∈ [0, 1].

The basic example: the distance from a point z : dz (x) = d(x, z). As a consequence, theballs in a global NPC space are convex sets. See [5].

The aim of my talk is to report on recent results obtained by the author and his collaborators.See [1], [2], [3] and [4].

References[1] C. P. Niculescu, The Krein-Milman Theorem in Global NPC Spaces, Bull. Soc. Sci. Math.

Roum. 50 (98), 2007, no. 4, 343-346.

[2] C. P. Niculescu, The Hermite-Hadamard inequality for convex functions on a global NPCspace, J. Math. Anal. Appl. 356 (2009), no. 1, 295–301. doi:10.1016/j.jmaa.2009.03.007

[3] C. P. Niculescu and I. Roventa, Fan’s inequality in geodesic spaces, Appl. Math. Letters,2009. doi:10.1016/j.aml.2009.03.020

[4] C. P. Niculescu and I. Roventa, The Schauder fixed point theorem in spaces with globalnonpositive curvature, preprint.

[5] K. T. Sturm, Probability measures on metric spaces of nonpositive curvature. In vol.:Heat kernels and analysis on manifolds, graphs, and metric spaces (Pascal Auscher etal. editors). Lecture notes from a quarter program on heat kernels, random walks, andanalysis on manifolds and graphs, April 16–July 13, 2002, Paris, France. Contemp. Math.338 (2003), 357-390.

Hotel: TinasArrival to Lulea: June 7, 2009 at 18.50, SK016Departure from Lulea: June 12, 2009 at 7.05, SK0003

14. Name: Ludmila Nikolova


Address: Department of Mathematics, Kliment Ohridski University of Sofia, bul.JamesBouchier 5, 1164 Sofia, Bulgaria

Website: http://www.fmi.uni-sofia.bg/en/lecturers/ma/ludmilan

Talk: On Edmunds-Triebel logarithmic spaces

Abstract: We consider some properties of abstract logarithmic spaces Aθ(logA)b,p. Wegive estimates of a measure of weak noncompavtness of operators acting from Aθ(logA)b,pto Bθ(logB)b,p in terms of the measure of weak noncompavtness of operators from Ai toBi, (i = 0, 1). We estimate the n-th James constant of the space Aθ(logA)b,p by the James

15

constant of the space A0 and A1 and we get analogues result for the characteristic of convexityε(Aθ(logA)b,p).The results are obtained together with Theodossios Zachariades from AthensUniversity.

Hotel: TinasArrival to Lulea: 07 June, SK 10 , at 14h 40Departure from Lulea: 13 June, SK 07 , at 11h 45

15. Name: Ryskul Oinarov

e-mail: o [email protected]

Address: Department of Mathematics, Eurasian National University, Munaytpasov Street5, 010008 Astana, Kazakhstan

Website: http://www.mathnet.ru/php/person.phtml?option-lang=eng&personid=20035

Talk: Weighted inequalities and oscillation properties of quasilinear differential equations

Abstract: It is considered the application problems of the results on weighted Hardy typeinequalities to the investigation of oscillatory and non-oscillatory properties of semi-linearsecond order and higher order differential equations.

Hotel: Kaptensgarden: 7-14 June 2009Arrival to Lulea: June 2 2009 at 15:30, SKDeparture from Lulea: June 13 2009 at 8:10, SK

16. Name: Josip Pecaric


Address: Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia

Website: http://mahazu.hazu.hr/DepMPCS/indexJP.html

Talk: Generalizations of classical quadrature formulas and related inequalities

Abstract: The main idea of this thak is to develop a general method for deriving generaliza-tions of classical quadrature formulae using the concept of harmonic sequences of polynomialsand w−harmonic sequences of functions. These generalizations involve the values of higherordered derivatives in the ?inner? nodes, beside the values of the functions in nodes ofintegration.

At first we introduce a general integral identity with harmonic sequences ofpolynomials, whichrepresents the general m−point quadrature formula. In addition, the weighted version of thisidentity is obtained. For these identities the error estimates are given, and sharp and thebest possible constants are established. Then we investigate the special cases of m−pointquadrature formulae, for m = 1, 2, 3, 4, so the generalizations of the well-known Newton-Cotes and Gauss-type quadrature formulae are obtained. Also, related inequalities and somenew error estimates for these formulae are obtained.

Hotel: Tinas (with wife in a double room)Arrival to Lulea: June 7 2009 at 23.55, SK022Departure from Lulea: June 12 2009 at 6.00, SK001

16

17. Name: Andrey L. Piatnitski


Address: Narvik University College, HiN, Postbox 385, N-8505, Narvik, Norway

Address: Lebedev Physical Institute, Russian Academy of Sciences, Leninski prospect53, Moscow 117924, Russia

Website: http://ansatte.hin.no/alp/

Talk: Homogenization of a spectral problem with sign-changing weight function

Abstract: The talk will focus on the asymptotic behaviour of spectrum of the eigenvalueproblem

div(a(xε

)∇u)

= λρ(xε

)u, u ∈ H1

0 (Q)

stated in a regular bounded domain Q ⊂ Rn. It is supposed that the coefficients a(y) andthe weight function ρ(y) are periodic and that a(y) satisfies the uniform ellipticity conditions.The crucial assumption which makes this spectral problem non-standard, is that the weightfunction ρ(y) changes sign. Under this assumption that we show that for any ε > 0 thepositive and negative eigenvalues form the infinite series

λε,+1 ≤ λε,+2 , . . . ,≤ λε,+j , · · · → +∞

and λε,−1 ≥ λε,−2 , . . . ,≥ λε,−j , · · · → −∞,

and study the asymptotic behaviour of the eigenpairs, as ε → 0. In particular, we will showthat the limit behaviour of spectrum depends crucially on whether the mean value of ρ isequal to zero or not.

Hotel: Scandic hotel: 7-12 June 2009Arrival to Lulea: ???Departure from Lulea: ???

18. Name: Gord Sinnamon


Address: Department of Mathematics, University of Western Ontario, London, Ontario,N6A 5B7, Canada

Website: http://sinnamon.math.uwo.ca/

Talk: Sequence spaces connected with the hypergeometric mean

Abstract: A new family of norms is defined on the Cartesian product of n copies of agiven normed space. The new norms are related to the hypergeometric means but are notrestricted to the positive real numbers. Quantitative comparisons with the usual p-norms aregiven. Using a limit of isometric embeddings, the norms are extended to spaces of boundedsequences that include all summable sequences. Examples are given to show that the newsequence spaces have very different properties than the usual spaces of p-summable sequences.

Hotel: TinasArrival to Lulea: June 7 (will be in Lulea from June 4)Departure from Lulea: June 11, 2009 at 7:05 SK0003

17

19. Name: Gunnar Sparr


Address: Department of Mathematics (LTH), Lund Institute of Technology / LundUniversity, P.O. Box 118, S-221 00 Lund, Sweden

Talk: On a theorem of Hardy-Littlewood-Polya and its implications for interpolationfunctions

Abstract: In an old paper by the author, Interpolation of weighted Lp-spaces, Studia Math.17, 1978, all interpolation spaces for couples of weighted Lp-spaces were characterized. Acrucial role was played by a matrix lemma, generalizing a classical result of Hardy, Littlewoodand Polya on rearrangements and convexity. In the talk, the elementary proof of this lemmawill be presented, together with some of its implications for interpolation functions and theFoias-Lions problem.

Hotel: Scandic hotelArrival to Lulea: June 7 2009 at 20.20, flight nr SK18Departure from Lulea: June 11 2009 at 18.00, flight nr 2N 664

20. Name: Vladimir Stepanov


Address: Department of Mathematical Analysis and Function Theory, Peoples FriendshipUniversity of Russia, 117198 Moscow, Russia

Talk: Hardy type inequalities: recent progress and applications

Abstract: Let 0 < p < ∞, ‖f‖p : =(∫∞

0|f(x)|pdx

)1/pand let v(x) ≥ 0 be a weight.

Denote Lp,v the weighted Lebesgue space with (quasi) norm ‖f‖p,v : = ‖fv‖p.We study the integral operators of the form

Kf(x) =

∫ ∞

0

k(x, y)f(y)dy,

acting from Lp,v to Lq,w and on the related cones of monotone functions.

Some applications for the Geometric mean operators and to the two-sided estimates of theapproximation numbers for particular cases of the operators K are given.

Hotel: Kaptensgarden: 7-14 June 2009Arrival to Lulea: June 7 2009 at 21.15, SK002Departure from Lulea: June 17 2009 at 10.00, SK005

18

21. Name: Thomas Stromberg


Address: Department of Mathematics, Lulea University of Technology, SE-971 87 Lulea,Sweden

tel. +46(0)920-491950Website: http://www.ltu.se/mat/staff/1.2050

Talk: Viscosity solutions of fully nonlinear PDEs

Abstract: I discuss in talk the Cauchy problem for fully nonlinear and possibly degenerateparabolic equations of the form ut + F (t, x, u,Du,D2u) = 0 set in QT = (0, T ] × Rn.The delicate uniqueness issue is the main topic. Since the PDE is set in an unbounded set,it is, generally speaking, necessary to impose restrictons on the growth on the solution toprove uniqueness. However, I mention uniqueness results without any restrictions, for (i)the inviscid Hamilon-Jacobi equation ut + H(t, x,Du) = 0 or for (ii) the viscous equationut+

12|Du|2 +V (x)−ε∆u = 0. A result for the Isaacs equation under an exponential growth

condition on the solution is also given.

Hotel: He lives in Lulea


22. Name: Nils E. M. Svanstedt


Address: Mathematical Sciences, Chalmers University of Technology and University ofGothenburg, S-412 96 Goteborg, Sweden

tel. +46-31-7725346 (office) +46-340-41714 (home), mobile: 070-3741714Website: http://www.math.chalmers.se/∼nilss/

Talk: From G- to Σ-convergence – An unfolding journey in homogenization theory

Abstract: Starting from some classical prototypes in the homogenization business we will inthis talk excercise the main tools in good old G-convergence and some more recent tools likeNguetsengs Σ-convergence in our attempt to revisit some old results and expose some newresults that have come up along the journey

Hotel: Scandic hotelArrival to Lulea: Sunday June 7 by carDeparture from Lulea: Wednesday June 10

19

Other participants

1. Name: Zamira Abdikalikova



Talk: Compactness of Embedding between Sobolev type spaces with multiweighted deriva-tives

Abstract: We consider a new Sobolev type function space called the space with multiweightedderivatives. As basis for this space serves some differential operators containing weight func-tions. We establish necessary and sufficient conditions for the boundedness and compactnessof the embedding between the spaces with multiweighted derivatives in different selections ofweights.

Hotel: Apartment at VanortsvagenArrival to Lulea: Lives in Lulea April-June

2. Name: Shoshana Abramovich


Address: Department of Mathematics, University of Haifa, Israel

Talk: On Jensens inequality for superquadratic functions

Abstract: S. Abramovich, B. Ivankovic and J. Pecaric. Presented by: S. Abramovich. Since1907, the famous Jensen’s inequality has been refined in different manners. In our paper, werefine it applying superquadratic functions and separations of domains for convex functions.There are convex functions which are not superquadratic and superquadratic functions whichare not convex. For superquadratic functions which are not convex we get inequalities ana-logue to inequalities satisfied by convex functions. For superquadratic functions which areconvex (including many useful functions) we get refinements of Jensen’s inequality and itsextensions.

Hotel: Best Western, Arctic hotel

Arrival to Lulea: June 7, flight SK0016, arrival time 18:50

Departure from Lulea: June 12, flight SK0013, departure time 15:55

3. Accompanying person: Shaul Abramovich

4. Name: Miros law Adamek


Address: Department of Mathematics and Computer Science, University of Bielsko-Biala,ul. Willowa 2, 43-309 Bielsko-Biala, Poland

Talk: On single valuedness of λ-convex set valued maps

20

Abstract: In this talk we deal with λ-convex set valued maps F : X → n(Y ), where X, Yare real topological vector space and n(Y ) is the collection of all nonempty subsets of Y . Inparticular, we show that if F (x0) is a singleton for some x0 ∈ X, then F is a single valuedmap.

Hotel: Amber HotelArrival to Lulea: June 7 2009 at 17:20, DY467Departure from Lulea: June 12 2009 at 7:35, DY474

5. Name: Andrea Aglic Aljinovic


Address: Department of Applied Mathematics, Faculty of Electrical Engineering andComputing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia

Talk: Error bounds for approximations of the Laplace transform of functions in Lp spaces(talk and poster?)

Abstract: Some new inequalities concerning approximations of the Laplace transform offunctions in Lp spaces are presented. Also, new estimates of the difference between the twoLaplace transforms are given. These results are used to obtain bounds of associated numericalquadrature formula.

Hotel: Lulea VandrarhemArrival to Lulea: June 7 2009 at 23.55, SK022Departure from Lulea: June 12 2009 at 6.00, SK001

6. Name: Elona Agora


Address: Dept Matematica Aplicada i Analisi, Facultat de Matematiques, Universitatde Barcelona, Gran Via 585, 08007 Barcelona, Spain

Hotel: Vandrarhemmmet KronanArrival to Lulea: June 5 2009 at 16:30, SK2002Departure from Lulea: June 12 2009 at 16:55, SK2003

7. Name: Francis A. K. Allotey

Address: Dept. of Maths and Stats. University of Cape Coast, Ghana

Hotel: private residenceArrival to Lulea: 7/06/09 at 14.40, SK 10Departure from Lulea: 12/06/09 at 16.55, SK2003

21

8. Name: Hasan Almanasreh


Address: Department of Mathematics, University of Goteborg, SE-412 96 Goteborg,Sweden

Talk: No talk

Hotel:

Arrival to Lulea: June 7 2009 at 12.40, SK 8692

Departure from Lulea: June 11 2009 at 19.15, SK 19

9. Name: Ilko Brnetic


Address: Department of Applied Mathematics, Faculty of Electrical Engineering andComputing, University of Zagreb. Unska 3, 10 000 Zagreb, Croatia

Talk: On reverses of the triangle inequality

Abstract: Reverses of the triangle inequality in inner product spaces is given and analyzed.

Hotel: Lulea VandrarhemArrival to Lulea: June 7, 2009, 23.55, SK022Departure from Lulea: June 12, 2009, 06.00, SK001

10. Name: Betuel Canhanga


Address: Department of Mathematics, Lulea University of Technology, Lulea, Sweden


11. Accompanying person: Chechkin – wife of Gregory

12. Name: Ambroz Civljak


Address: American College of Management and Technology, Rochester Institute of Tech-nology, Don Frana Bulica 6, 20000 Dubrovnik, Croatia

Talk: Generalizations of Ostrowski inequality via Euler harmonic identities for measures

Abstract: Some generalizations of Ostrowski inequality are given by using generalized Euleridentities involving real Borel measures and harmonic sequences of functions

Hotel: Kronan Youth HostelArrival to Lulea: June 7 2009 at 13.30, DY471Departure from Lulea: June 11 at 19.35, DY484

22

13. Name: Olvido Delgado


Address: Departamento de Matemtica Aplicada I, Universidad de Sevilla, Avenida ReinaMercedes s/n, 41012 Sevilla, Spain

Talk: Summability on Banach function spaces and multiplication operators

Abstract: We characterize when a multiplication operator between Banach function spacestakes sequences which are summable in a certain weak sense into strongly summable sequences

Hotel: Best Western Arctic Sandviksgatan

Arrival to Lulea: June 7 2009 at 18:50, SK0016

Departure from Lulea: June 12 2009 at 10:50, SK0007

14. Name: Hermann Douanla


Address: Department of Mathematics, University of Goteborg, SE-412 96 Goteborg,Sweden

Talk: No talk

Hotel:

Arrival to Lulea: June 7 at 12.40, SK 8692

Departure from Lulea: June 11 at 19.15, SK 19

15. Name: Biserka Drascic Ban


Address: Deparment of sciences, Faculty of Maritime Studies, University of Rijeka, Stu-dentska 2, 51000 Rijeka, Croatia

Talk: Quotient mean series

Abstract: A new type of series is defined, called the Quotient mean series. Two integralrepresenatations are given and two upper bounds.

Hotel: Amber HotellArrival to Lulea: June 7 2009 at 21:50, DY483Departure from Lulea: June 12 2009 at 6:45, DY462

16. Name: Ove Edlund




23

17. Name: Emmanuel Essel


Address: Dept. of Maths and Stats. University of Cape Coast, Ghana

Hotel: private residenceArrival to Lulea: 7/06/09 at 14.40, SK 10Departure from Lulea: 12/06/09 at 16.55, SK2003

18. Name: John Fabricius




19. Name: W lodzimierz Fechner


Address: Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice,Poland

Talk: Functional characterization of a sharpening of the triangle inequality

Abstract: Motivated by recent refinements of the classical triangle inequality in normedspaces proved by Lech Maligranda we deal with some related functional equations and in-equalities.

Hotel: Amber HotellArrival to Lulea: June 7 2009 at 17.20, DY467Departure from Lulea: June 12 2009 at 7.35, DY474

20. Name: Zywilla Fechner



Talk: On some integral generalization of the sine-cosine equation

Abstract: In the present talk we deal with some generalizations of the sine-cosine equationfor mappings defined on a locally compact abelian group and taking their values in the fieldof complex numbers.

Hotel: Amber HotellArrival to Lulea: June 7 2009 at 17.20, DY467Departure from Lulea: June 12 2009 at 7.35, DY474

24

21. Name: Masatoshi Fujii


Address: Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan

Talk: Bohr inequality for operators

Abstract: The classical Bohr inequality says that

|a + b|2 ≤ p|a|2 + |b|2

for all scalars a, b and p, q > 0 with 1/p + 1/q = 1. The equality holds if and only if(1− p)a = b.

In this talk, we improve the accuracy of the estimate given by the original Bohr inequality. Ourviewpoint is the parallelogram law for absolute value of operators. We present the followingoperator equation: If A and B are operators on a Hilbert space and t 6= 0, then

|A−B|2 +1

t|tA + B|2 = (1 + t)|A|2 + (1 +

1

t)|B|2.

We discuss applications of this equation. Furthermore we attempt matrix theoretic approachto them.

Hotel: Comfort Hotel LuleaArrival to Lulea: June 7, 21:25, SK2Departure from Lulea: June 12, 10:00, SK5

22. Name: Roman Ger



Talk: On some orthogonalities in Banach spaces

Abstract: Motivated by F. Suzuki’s property of isosceles trapezoids C. Alsina, P. Cruells andM. S. Tomas trapezoids, have proposed the following orthogonality relation in a real normedlinear space (X, ‖ · ‖): two vectors x, y ∈ X are T -orthogonal whenever

‖z − x‖2 + ‖z − y‖2 = ‖z‖2 + ‖z − (x + y)‖2

for every z ∈ X. A natural question arises whether an analogue of T -orthogonality maybe defined in any real linear space (without a norm structure). Our proposal reads as fol-lows. Given a functional ϕ on a real linear space X we say that two vectors x, y ∈ X areϕ−orthogonal (and write x ⊥ϕ y) provided that ∆x,yϕ = 0 (∆h1,h2 stands here for thesuperposition ∆h1 ∆h2 of the usual difference operators).

We are looking for necessary and//or sufficient conditions upon the functional ϕ to generatea ϕ−orthogonality such that the pair (X,⊥ϕ) forms an orthogonality space in the sense of J.Ratz. Some new characterizations of inner product spaces as well as examining several othertype othogonalities from this point of view will be presented and reported on.

25

Hotel: Best Western Arctic HotelArrival to Lulea: June 7, 2009 at17:20, DY467Departure from Lulea: June 12, 2009 at 07:35, DY474

23. Name: Michael L. Goldman


Address: Department of Mathematics, Peoples Friendship University, Moscow, Russia

tel. 7-499-1317012

Talk: On optimal embedding of generalized Bessel and Riesz potentials

Abstract: We study the spaces of potentials in n-dimensional Euclidean space. They areconstructed on the base of a rearrangement invariant space (RIS) by using convolutions withsome general kernels (spaces with generalized smoothness). Specifically, the treatment coversspaces of classical Bessel and Riesz potentials. We find for these spaces their rearrangementinvariant hulls and obtain exact embeddings into RISes. Concretizations of these results aregiven for the spaces of potentials of Bessel and Riesz type constructed on the base of Lebesguespaces.

Hotel: ?Arrival to Lulea: June 7, 2009 flight SK 0002, 21.25Departure from Lulea: June 12, 2009 flight SK 0007, 10.50

24. Name: Niklas Grip




25. Name: Thomas Gunnarsson



Office at the Lulea University of Technology: D2205, tel. 0920-491850; Mobiltelefon:070-6325801

26. Name: Frank Hansen


Address: Department of Economics, Studiestræde 6, 1455 Copenhagen, Denmark

Talk: Hardy inequalities for operators - scope and limitations

Abstract: We investigate the scope and limitations for possible extensions of Hardy’s in-equality. It is known that Hardy’s inequality may be extended to operators if the parameterp satisfies 1 < p ≤ 2. We show that it cannot be extended to two by two matrices for any

26

p > 2, and we clarify under which conditions extensions can be obtained to other orderedBanach algebras.

Hotel: Tinas rum

Arrival to Lulea: June 7 at 14.40, SK10

Departure from Lulea: June 12 at 16.55, SK2003

27. Name: Eva Jablonka




28. Name: Pankaj Jain


Address: Department of Mathematics, Deshbandhu College 9University of Delhi), Kalkaji,New Delhi-110019, India

Talk: Grand Lebsgue spaces and weighted norm inequalities

Abstract: Weighted grand Lebesgue space Lp)w shall be discussed and compared with the

weighted Lebesgue space Lpw. Integral operators like maximal operator, averaging operator

and conjugate averaging operator will be discussed in the context of Lp)w -spaces.


29. Name: Hans Johansson




30. Name: Maria Johansson




31. Name: Lennart Karlberg




27

32. Name: Anna Klisinska




33. Name: Yulia Koroleva


Address: Department of Differential Equations, Faculty of Mechanics and Mathematics,Moscow Lomonosov State University, Moscow 119991, Russia & Department of Mathe-matics, Lulea University of Technology, SE-971 87 Lulea, Sweden, Russia

Talk: On the Friedrichs inequality in a cube perforated periodically along the part of theboundary.

Abstract: We consider a boundary-value problem in a three-dimensional domain, which isperiodically perforated along the boundary in the case when the diameter of the holes andthe distance between them have the same order. We suppose that the Dirichlet boundarycondition holds on the boundary of the cavities. We derive the Friedrichs inequality forfunctions from Sobolev space H1, which are defined in the considered domain. Moreover, wederive the limit (homogenized) problem for the original problems. In particular, we establishstrong convergence in H1 for the solutions of the considered problems to the correspondingsolution of the limit problem. Moreover, we prove that the eigenelements of the originalspectral problems converge to the corresponding eigenelement of the limit spectral problem.We apply these results to obtain that the constant in the derived Friedrichs inequality tends

to the constant of the classical Friedrichs inequality for functions from

H1, when the smallparameter describing the size of perforation tends to zero.

Hotel: ?Arrival to Lulea: June 5 2009 at 18.50, SK016Departure from Lulea: ?

34. Name: Mario Krnic


Address: Department of Applied Mathematics, Faculty of Electrical Engineering andComputing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia

Talk: Hilbert inequalities related to generalized hypergeometric functions

Abstract: Using the Poisson-type integral representations of generalized hypergeometric func-tion, we derive here some new classes of multidimensional inequalities of Hilbert and Hardy-Hilbert type with some special kernels. These results generalize corresponding inequalities forGaussian hypergeometric functions.


28

35. Name: Kristina Krulic


Address: Faculty of Textile and Technology, University of Zagreb, Prilaz baruna Fil-ipovica 28a,10000 Zagreb, Croatia

Talk: A new class of general refined Hardy-type inequalities with kernels

Abstract: Authors: Aleksandra Cizmesija, Kristina Krulic and Josip Pecaric

Let µ1 and µ2 be positive σ-finite measures on Ω1 and Ω2 respectively, k : Ω1 ×Ω2 → R bea non-negative function, and

K(x) =

∫Ω2

k(x, y)dµ2(y), x ∈ Ω1.

In this talk, we state and prove a new class of refined general Hardy-type inequalities relatedto the weighted Lebesgue spaces Lp and Lq, where 0 < p ≤ q < ∞, convex functions andthe integral operators Ak of the form

Akf(x) =1

K(x)

∫Ω2

k(x, y)f(y)dµ2(y).

As special cases of our results, we obtain refinements of the classical one-dimensional Hardy’s,Polya–Knopp’s, Hardy–Hilbert’s and related dual inequalities, as well as a generalization andrefinement of the classical Godunova’s inequality. Finally, we show that our results maybe seen as generalizations of some recent results related to Riemann-Liuuville’s and Weyl’soperator.

Hotel: Lulea VandrarhemArrival to Lulea: June 7 2009 at 23.55 SK022Departure from Lulea: June 12 2009 at 6.00 SK001

36. Name: Komil Kuliev


Address: Department of Mathematics, University of West Bohemia, 30100 Pilsen, CzechRepublic

Talk: Some characterizing conditions of Hardy’s and reverse Hardy’s inequalities

Abstract: Some new characterizing conditions for the validity of the Hardy’s and reverseHardy’s inequalities in the case 0 < p/q < 1, p, q ∈ R are found.

Hotel: Lulea VandrarhemArrival to Lulea: June 7 2009 at 10:55 by SK06Departure from Lulea: June 12 2009 at 6.00

37. Name: Dag Lukkassen


Address: Narvik Institute of Technology, HiN Postbox 385, N-8505, Narvik, Norway

Hotel: ?

29

38. Name: Staffan Lundberg




39. Name: Anca-Nicoleta Marcoci


Address: Department of Mathematics and Informatics, Technical University of CivilEngineering Bucharest, RO-020396, Romania

Talk: Some applications of level sequences to estimate equivalent norms in Lorentz se-quences spaces

Abstract: The talk will be about level sequences and some applications to find optimalestimates between equivalent norms in Lorentz sequence spaces. We introduce the conceptof level sequence (related to that of level function) and we study the Lorentz spaces `p,s inthe range 1 < p < s ≤ ∞.

We consider the following decomposition norm:

‖x‖(p,s) := inf

∑k

‖x(k)‖p,s

,

where the infimum is taken over all finite representations x =∑

k x(k), and for which wewill derive the best constant in the triangle inequality. We also prove that the decompositionnorm coincides with the dual norm of ‖x‖p,s for all p, s > 1.

Hotel: She is Lulea in the period April-June 2009

40. Name: Liviu-Gabriel Marcoci


Address: Department of Mathematics and Informatics, Technical University of CivilEngineering Bucharest, RO-020396, Romania

Talk: Remarks about some Banach spaces of analytic matrices

Abstract: Let B0(D, `2) denote the space of all upper triangular matrices A such thatlimr→1−(1 − r2)‖(A ∗ C(r))′‖B(`2) = 0. We also denote by B0,c(D, `2) the closed Banachsubspace of B0(D, `2) consisting of all upper triangular matrices whose diagonals are compactoperators. In this talk we will present some new results about this spaces.

Hotel: He is in Lulea in the period April-June 2009

30

41. Name: Katsuo Matsuoka


Address: College of Economics, Nihon University, 1-3-2 Misaki-cho Chiyoda-ku Tokyo101-8360, Japan

Talk: The title of my talk: On the weighted estimates of singular integral operators onsome Herz spaces

Abstract: A. Beurling (1964) introduced the Beurling algebra and its dual space Bp(Rn),

which is a particular case of Herz spaces Kαp,r(Rn), i.e. Bp(Rn) = K

−n/pp,∞ (Rn). And also

Y. Chen and K. Lau (1989) and J. Garcıa-Cuerva (1989) introduced the spaces CMOp(Rn),which are the dual spaces of Beurling type Hardy paces.

Furthermore, J. Garcıa-Cuerva and M.-J. L. Herrero (1994) generalized the spaces Bp(Rn)and CMOp(Rn), and introduced the spaces Bp

q (Rn) and CMOpq(Rn).

Concerning the boundedness of operators, X. Li and D. Yang (1996) proved that the singularintegral operators are bounded on Kα

p,r(Rn), where 1 < p < ∞, 0 < r ≤ ∞ and −n/p <α < n(1− 1/p).

On the other hand, Y. Chen and K. Lau (1989) and J. Garcıa-Cuerva (1989) showed that thesingular integral operators are bounded from Bp(Rn) to CMOp(Rn), where 1 < p < ∞.

In this talk, we consider the boundedness of singular integral operators on Bpq (Rn) and also

on the ”weighted” Bpq (Rn).

Hotel: Amber Hotell and Hotell AvenyArrival to Lulea: June 5 2009 at 22.25, SK1046Departure from Lulea: June 12 2009 at 10.00, SK005

42. Name: Annette Meidell


Address: Narvik Institute of Technology, HiN Postbox 385, N-8505, Narvik, Norway

Hotel: ?

43. Name: Jadranka Micic Hot


Address: Department of Mathematics, Faculty of Mechanical Engineering and NavalArchitecture, University of Zagreb, Ivana Lucica 5, 10000 Zagreb, Croatia

Talk: Generalization of converses of Jensen’s operator inequality (poster only)

Abstract: We give a generalization of converses of Jensen’s operator inequality for a field ofpositive linear mappings which is integrable, and its integral is k1, for some positive scalar k.We consider some applications.


31

44. Name: Maria Nasyrova


Address: Computing Centre of the Far-Eastern Branch of the Russian Academy of Sci-ence, 680000, Khabarovsk, Kim Yu Chen st., 65, Russia

Talk: On some fractional order Hardy-type inequalities

Abstract: Let 0 ≤ a < b ≤ ∞ and 1 < p ≤ q < ∞ be parameters. Let u = u(x, y)and v = v(x) be weight functions on (a, b)× (a, b) and (a, b), respectively. We consider thefractional order Hardy-type inequality of the form(∫ b

a

∫ b

a

|f(x)− f(y)|qu(x, y) dy dx

)1/q

≤ C

(∫ b

a

|f ′(x)|pv(x) dx

)1/p

,

for every absolutely continuous function f(x) on (a, b). This type of inequalities was studiedby H.P. Heinig (p = q) and A. Kufner (p < q) (see [1] for details) in case of special weight inthe left hand side. We obtain a new characterization of the weights u and v for this inequalityto hold.

The research work of the author was partially supported by the grants RFBR 07-01-00054and 09-01-98516-r-vostok-a.

Reference

(a) A. Kufner and L.-E. Persson, Weighted inequalities of Hardy type, World Scientific,Singapore, 2003.

Hotel: Lulea Vandrarhem & Mini HotellArrival to Lulea: June 7 2009 at 11:45 Lulea C; SJ 92 (by train)Departure from Lulea: June 18 2009 at 07:35, DY474

45. Name: Kazimierz Nikodem


Address: Katedra Matematyki i Informatyki, Akademia Techniczno-Humanistyczna, ul.Willowa 2, 43-300 Bielsko-Biala, Poland

Talk: On quasiconvex functions and Karamardian’s theorem

Abstract: Given a convex subset D of a vector space and a constant t ∈ (0, 1), a functionf : D → R is called t-quasiconvex if, for all x, y ∈ D,

f(tx + (1− t)y) ≤ maxf(x), f(y);

f is called strictly t-quasiconvex if, for all x, y ∈ D such that f(x) 6= f(y),

f(tx + (1− t)y) < maxf(x), f(y);

f is quasiconvex (strictly quasiconvex) if it is t-quasiconvex (strictly t-quasiconvex) for allt ∈ (0, 1). Some relationships between the above classes of functions are given. In particularKuhn-type results and a generalization of the Karamardian theorem are presented.

32

References[1] F. Behringer, On Karamardian’s theorem about lower semicontinuous strictly quasicon-

vex functions, Zeitschr. Oper. Res. 23 (1979), 17-48.

[2] S. Karamardian, Strictly quasiconvex (concave) functions and duality in mathematicalprogramming, J. Math. Anal. Appl. 20 (1967), 344–358.

[3] N. Kuhn, A note on t-convex functions, General Inequalities, 4 (Oberwolfach, 1983)(W. Walter, ed.), International Series of Numerical Mathematics, vol. 71, Birkhauser,Basel, 1984, pp. 269–276.

[4] K. Nikodem, M. Nikodem, Remarks on t-quasiconvex functions, submitted.

Hotel: Amber HotelArrival to Lulea: 07 Jun, Krakow-Stockholm (DY 3872); Stockholm-Lulea (DY 467);17:20Departure from Lulea: 12 Jun; 07:35 Lulea-Stockholm (DY 474); Stockholm-Krakow(DY 3871)

46. Accompanying person: Jadwiga Nikodem

47. Name: Christopher A. Okpoti


Address: Department of Mathematics, University of Education, P. O. Box 25 Winneba,Ghana

Talk: Weighted Inequalities of Hardy Type for Matrix Operators: The case q < p

Abstract: A non-negative triangular matrix operator is considered in weighted Lebesguespaces of sequences. Under some additional conditions on matrix, some new weight charac-terizations for discrete Hardy type inequalities with matrix operator are proved for the case1 < q < p < ∞.

Hotel: Private accomodationArrival to Lulea: 7/06/09 at 14.40, SK 10Departure from Lulea: 12/06/09 at 16.55, SK2003

48. Name: Iryna Pankratova


Address: HiN, Postbox 385, 8505 Narvik, Norway

Hotel:Arrival to Lulea: June 8 2009Departure from Lulea: June 11 2009

49. Name: Victor F. Payne


Address: Mathematics Department, University of Ibadan, Ibadan, Nigeria

33

Talk: Energy decay rate for the von Karman system of a thermoelastic plate with acut-out

Abstract: Using the semigroup method and construction of a Lyapunov function which is anappropriate perturbation of the energy of the system, we consider the dynamics of the vonKarman system describing the nonlinear vibrations of a thin plate with a cut-out.

Hotel: Any availableArrival to Lulea: June 7, 2009 17.50 from StockholmDeparture from Lulea: June 12, 11.00

50. Accompanying person: wife of Josip Pecaric

51. Name: Lars-Erik Persson




52. Name: Lena Persson wife of LEP

53. Name: Klas Pettersson


Address: HiN, Norway

Hotel: Lulea vandrarhemArrival to Lulea: June 8 2009 at 06.55, SJ (by train)Departure from Lulea: June 13 2009 at 16.35, SJ (by train)

54. Name: Dora Pokaz


Address: Faculty of Civil Engineering, Fra Andrije Kacica-Miosica 26, 10 000 Zagreb,Croatia

Talk: A new general Boas-type inequality and related Cauchy-type means

Abstract: Let λ be a finite Borel measure on R+ and L =∫

sup λdλ(t). Let X be a

topological space equipped with a continuous multiplication by positive scalars and let µ andν be σ-finite Borel measures on X. For t > 0 and a Borel set S ⊆ X we define a new σ-finite Borel measure on X by µt(S) = µ

(1tS)

and suppose µt ν, for t ∈ sup λ. Further,suppose Borel set Ω ⊆ X is λ-balanced and u is a non-negative function on X such thatv(x) =

∫∞0

u(

1tx)dµt

dν(x) dλ(t) < ∞, x ∈ Ω. In this general setting, for a convex function

Φ: I ⊆ R → R we state and prove the following Boas-type inequality∫Ω

u(x)Φ(Af(x)) dµ(x) ≤ 1

L

∫Ω

v(x)Φ(f(x)) dν(x),

34

where f : Ω → R is a Borel measurable function such that f(x) ∈ I for all x ∈ Ω and theHardy-Littlewood average of f is defined by Af(x) = 1

L

∫∞0

f(tx) dλ(t), x ∈ Ω. We alsogive examples of this inequality related to intervals in R+ and balls in Rn. Further, we explorelog-convexity of the Boas difference

ξ(s) =1

L

∫Ω

v(x)ϕs(f(x)) dν(x)−∫

Ω

u(x)ϕs(Af(x)) dµ(x),

where

ϕs(x) =

− log x, s = 0x log x, s = 1

xs

s(s− 1), otherwise,

and derive the related Lyapunov-type inequality

[ξ(r)]q−p ≤ [ξ(p)]q−r · [ξ(q)]r−p, −∞ < p < r < q < ∞.

Finally, observing that the functional

F (h) =1

L

∫Ω

v(x)(h Φ)(f(x))dν(x)−∫

Ω

u(x)(h Φ)(Af(x))dµ(x), h ∈ C2(J),

where a compact set J ⊂ R is such that J ⊇ Im Φ, fulfills the property F (h) = h′′(c)F (ϕ2)

for some c ∈ J , we introduce and examine a new class of the Cauchy-type means related tofunctions F, Φ, u, and real numbers p, r. Namely, for p, r ∈ R\0, 1, p 6= r, these means are

defined by M(p, r) =(F (ϕp)

F (ϕr)

) 1p−r

, while M(0, 0), M(0, 1), M(1, 0), M(1, 1), and M(p, p),

M(0, p), M(1, p), M(p, 0), M(p, 1) for p ∈ R \ 0, 1, are naturally obtained by limitingprocesses. In particular, we show that M(·, ·) fulfills the intermediacy and monotonicityproperty.

Hotel: Lulea VandrarhemArrival to Lulea: June 7 2009 at 15.20, SK 12Departure from Lulea: June 12 2009 at 10.50, SK 7

55. Name: Dmitry Prokhorov


Address: Computing Centre of the Far Eastern Branch of the Russian Academy ofSciences, Russia, 680000, Khabarovsk, Kim Yu Chen St., 65, Russia

Talk: On the inequalities for the Riemann-Liouville operator involving suprema

Abstract: Denote by M the class of all nonnegative measurable on (0,∞) function. Wecharacterize the inequality(∫ ∞

0

[(Rαf)(x)]qw(x) dx

) 1q

≤ C

(∫ ∞

0

f(x)p dx

) 1p

, f ∈ M,

35

where the operator Rα is defined by the formula

(Rαf)(t) = supt≤s<∞

u(s)

∫ s

0

f(y)v(y) dy

(s− y)1−α ,

α ∈ (0, 1), w, v ∈ M, u is a continuous nonnegative function and either u or v is nonincreasingon (0,∞). The research was partially supported by the Russian Foundation for Basic Research(Projects 07-01-00054-a and 09-01-98516-p vostok a) and by the Russian Science SupportFoundation.

Hotel: Vandrarhemmmet KronanArrival to Lulea: June 7 2009 at 23.55Departure from Lulea: June 15 2009 at 10.00, SK005

56. Name: Salvador Rodriguez


Address: Dept Matematica Aplicada i Analisi, Facultat de Matematiques, Universitatde Barcelona, Gran Via 585, 08007 Barcelona , Spain

Talk: A De Leeuw restriction result on multipliers for rearrangement invariant spaces

Abstract: De Leeuw’s classical restiction theorem on Fourier multipliers essentially statesthat, if m(x) is a Fourier multiplier for Lp(R), so is the sequence (m(n))n∈Z for Lp(T).

In this talk we shall present an extension of this result for a class of rearrangement invariantfunction spaces, wider than Lp and including certain pairs of Lorentz-Zygmund spaces.

It is a joint work with Maria Carro.

Hotel: Vandrarhemmmet KronanArrival to Lulea: June 5 2009 at 16:30, SK2002Departure from Lulea: June 12 2009 at 16:55, SK2003

57. Name: Mikaela Rohdin




58. Name: Kichi-Suke Saito


Address: Department of Mathematics, Niigata University, Niigata City, Niigata, 950-2181, Japan

Talk: Dual of two dimensional Lorentz sequence spaces and the James constant

Abstract: We determine the dual norm of two dimensional Lorentz sequence spaces andcompletely compute the James constant.

36

Hotel: Comfort Hotel LuleaArrival to Lulea: June 7 2009 at 21:25, SK002Departure from Lulea: June 12 2009 at 10:00, SK005

59. Name: Enrique A. Sanchez-Perez


Address: Department of Mathematics, Freie Universitat Berlin, Arnimallee 2-6, D-14195Berlin, Germany

Talk: Factorization theorems for functions belonging to Banach function spaces

Abstract: Let (Ω, Σ, µ) be a measure space and let X(µ) and Y (µ) be a couple of Banachfunction spaces over it. Consider the space of multiplication operators XY ′

from X to theKothe dual Y ′. Using different topologies for some products of Banach function spacesrelated with this space, we prove some abstract factorization theorems for the elements ofXY ′

. Some consequences on the properties of the space XY ′that can be deduced easily

from these results will be also explained. (Joint work with O. Delgado.)

Hotel: Best Western Arctic SandviksgatanArrival to Lulea: June 7 2009 at 18:50, SK0016Departure from Lulea: June 12 2009 at 10:50, SK0007

60. Name: Lyazzat Sarybekova



Talk: Lizorkin type theorem for Fourier series multipliers in regular systems

Abstract: A new Fourier series multiplier theorem of Lizorkin type is proved. The result isgiven for a general regular system. In particular, for the trigonometrical system it implies ananalogy of the original Lizorkin theorem.

Hotel: Apartment at VanortsvagenArrival to Lulea: Lives in Lulea April-June

61. Name: Yuki Seo


Address: 307 Fukasaku, Minuma-ku, Saitama-City, Saitama, 337-8570, Japan

Talk: A reverse of Ando-Hiai inequality

Abstract: A (bounded linear) operator A on a Hilbert space H is said to be positive (insymbol: A ≥ 0) if (Ax, x) ≥ 0 for all x ∈ H. In particular, A > 0 means that A is positiveand invertible. For some scalars m and M , we write m ≤ A ≤ M if m(x, x) ≤ (Ax, x) ≤

37

M(x, x) for all x ∈ H. The symbol ‖ · ‖ stands for the operator norm. Let A and B be twopositive operators on a Hilbert space H. For each α ∈ [0, 1], the weighted geometric meanA ]α B of A and B in the sense of Kubo-Ando is defined by

A ]α B = A12

(A− 1

2 BA− 12

)αA

12

if A is invertible.

To study the Golden-Thompson inequality, Ando-Hiai developed the following inequality,which is called the Ando-Hiai inequality: Let A and B be positive invertible operators ona Hilbert space H and α ∈ [0, 1]. Then

A ]α B ≤ I =⇒ Ar ]α Br ≤ I for all r ≥ 1,

or equivalently‖Ar ]α Br‖ ≤ ‖A ]α B‖r for all r ≥ 1.

In this talk, we show a reverse of the Ando-Hiai inequality: Let A and B be positive invertibleoperators on a Hilbert space H and α ∈ [0, 1]. If A ]α B ≤ I, then

Ar ]α Br ≤ ‖(A ]α B)−1‖1−r for all 0 < r ≤ 1,

Hotel: Comfort Hotel LuleaArrival to Lulea: 2009/06/07(Sunday), 21:25, SK2Departure from Lulea: 2009/06/12(Friday) 10:00, SK5

62. Name: Maria Pilar Silvestre Albero


Address: University of Barcelona, Spain

Talk: Capacitary function spaces

Abstract: In this talk we show a part of some work in progress concerning a general construc-tion of function spaces on a capacity space (Ω, Σ, C), similar to Banach function lattices ona measure space (Ω, Σ, µ). They are adapted to strong and weak capacitary inequalities, andto extend to Banach function lattices some aspects of the rearrangement invariant spaces.We show some of the problems that appear in this extension.

Hotel: Vandrarhemmet Kronan

Arrival to Lulea: 7/06/09, flights 43 & 2

Departure from Lulea: 14/06/09, flights 13 & 44

63. Name: Mikael Stenlund




38

64. Name: Inge Soderkvist




65. Name: Tamara V. Tararykova

Address: School of Mathematics, Cardiff University, Cardiff CF2 4AG, UK

Talk:

Abstract: T

Hotel: ?Arrival to Lulea: ?Departure from Lulea: ?

66. Name: Ainur Temirkhanova


Address: Munaitpasov str. 5, The L.N. Gumilev Eurasian National University, 010008Astana, Kazakhstan

Talk: Boundedness of a certain class of matrix operators

Abstract: We prove a new discrete Hardy-type inequality ‖Af‖q,u ≤ C‖f‖p,v, where the

matrix operator A is defined by (Af)i :=i∑

j=1

ai,jfj, ai,j ≥ 0. Moreover, the dual result is

stated.

It is a joint work with Zh. A. Taspaganbetova.

Hotel: Apartment at VanortsvagenArrival to Lulea: May 18 2009 at 22.25Departure from Lulea: June 16 2009 at 10.00

67. Name: Afonso Tsandzana




68. Name: Sanja Varosanec


Address: Department of Mathematics, University of Zagreb, Bijenicka 30, 10000 Zagreb,Croatia

39

Talk: The generalized Beckenbach-Dresher inequality and related results

Abstract: The following generalization of the Beckenbach-Dresher inequality is valid:

Let A, B : L → R be two isotonic linear functional and fi, ui : E → [0,∞〉, (i = 1, . . . , n),be functions such that fpi , u

qi , (∑n

i=1 fi)p, (∑n

i=1 ui)q ∈ L and A(fpi ), B(uqi ), A((

∑ni=1 fi)

p),B((∑n

i=1 ui)q) are positive for some real p, q. If either (i) u ≥ 1 and q ≤ 1 ≤ p (q 6= 0), or

(ii) u < 0 and p ≤ 1 ≤ q (p 6= 0), then

Aup

((n∑i=1

fi)p

)

Bu−1

q

((n∑i=1

ui)q

) ≤n∑i=1

Aup (fpi )

Bu−1

q (uqi ).

If 0 < u ≤ 1, p ≤ 1 and q ≤ 1, p, q 6= 0, then the inequality is reversed.

In this talk the history of this result and some new results will be presented.

Hotel: Lulea VandrarhemArrival to Lulea: June 7, 2009 at 20.20, SK018Departure from Lulea: June 14, 2009, by train

69. Name: Peter Wall




70. Name: Anna Wedestig


Address: Office of education and research, Lulea University of Technology, SE-971 87Lulea, Sweden

Talk: On the two-dimensional Hardy inequality

Abstract: The two-dimensional Hardy operator is characteried with two conditions. Inthe case were one of the weightfunctions is of product typeone of the conditions is a pureconstant, so the reslut coincide with earlier results.

Hotel: She lives in Lulea

71. Name: Sven Oberg



Office at the Lulea University of Technology: D2211, tel. 0920-491066 Mobiltelefon:070-6774989

40

Registered persons who will NOT come

1. Israel Abiala, Department of Mathematics, University of Agriculture, Abekouta,Nigeria

2. Maryam Amyari, Is. Azad Univ. Mashhad Branch, Iran

3. Aleksandra Cizmesija, Department of Mathematics, University of Zagreb, Croa-tia

4. Kuanysh Bekmaganbetov, Kazakhstan Branch of Moscow State University,010010 Astana, Munaitpasova, 5, Kazakhstan


5. Mahmoud M. El-Borai, Department of Mathematics, Alexandria University,Egypt

6. Khairia El-Said El-Nadi, Department of Mathematics, Alexandria University,Egypt

7. Pedro Fernandez Martinez, Department of Mathematics, Universidad de Mur-cia, Spain

8. Aigerim Kalybay, Kazakhstan Institute of Management, Economics and StrategicResearch; Abay Ave. 4, Almaty 050010, Kazakhstan

9. Kalbibi Myrzatayeva, Department of Fundamental and Applied Mathematics,Eurasian National University, 5 Munaitpasov str, Astana, Kazakhstan


10. Erlan Nursultanov, Department of Mathematics, Branch of Moscow State Uni-versity, Astana, Kazakhstan

11. James A. Oguntuase, Department of Mathematics, University of Agriculture,Nigeria

12. Nicolae Popa, University of Bucharest, Romania

13. Mohammad Sal Moslehian, Ferdowsi University of Mashhad, Iran

14. Sergey Tikhonov, ICREA and CRM, Spain

15. Nazerke Tleukhanova, Department of Mathematics, Eurasian National Univer-sity, Astana, Kazakhstan

41

Excursion on June 11, 2009

1. Lars-Erik Persson

2. Lena Persson

3. Sorina Barza

4. Bjorn Birnir

5. Victor Burenkov

6. Maria Carro

7. Gregory A. Chechkin

8. Gianni Dal Maso

9. Anna H. Kaminska

10. Mikio Kato

11. Vakhtang Kokilashvili

12. Alois Kufner

13. Lech Maligranda

14. Constantin Niculescu

15. Ludmila Nikolova

16. Ryskul Oinarov

17. Josip Pecaric

18. Andrey L. Piatnitski

19. Gunnar Sparr

20. Vladimir Stepanov

21. Zamira Abdikalikova

22. Shaul Abramovich – accompanying person

23. Shoshana Abramovich

24. Miros law Adamek

25. Andrea Aglic Aljinovic

26. Elona Agora

42

27. Francis A. K. Allotey

28. Hasan Almanasreh

29. Ilko Brnetic

30. Betuel Canhanga

31. Chechkin – accompanying person (wife of Gregory Chechkin)?

32. Ambroz Civljak

33. Olvido Delgado

34. Hermann Douanla

35. Biserka Drascic Ban

36. Emmanuel Essel

37. John Fabricius

38. W lodzimierz Fechner

39. Zywilla Fechner

40. Masatoshi Fujii

41. Roman Ger

42. Michael L. Goldman

43. Frank Hansen

44. Pankaj Jain

45. Aigerim Kalybay

46. Yulia Koroleva

47. Mario Krnic

48. Kristina Krulic

49. Komil Kuliev

50. Anca-Nicoleta Marcoci

51. Liviu-Gabriel Marcoci

52. Katsuo Matsuoka

53. Jadranka Micic Hot

54. Maria Nasyrova

43

55. Jadwiga Nikodem – accompanying person

56. Kazimierz Nikodem

57. Christopher A. Okpoti

58. Iryna Pankratova

59. Victor F. Payne

60. Pecaric – accompanying person (wife of Josip Pecaric)

61. Klas Pettersson

62. Dora Pokaz

63. Dmitry Prokhorov

64. Salvador Rodriguez

65. Kichi-Suke Saito

66. Enrique A. Sanchez-Perez

67. Lyazzat Sarybekova

68. Yuki Seo

69. Maria Pilar Silvestre Albero

70. Tamara V. Tararykova

71. Ainur Temirkhanova

72. Afonso Tsandzana

73. Sanja Varosanec

44

Banquet on June 9, 2009

1. Lars-Erik Persson

2. Lena Persson

3. Sorina Barza

4. Bjorn Birnir

5. Victor Burenkov

6. Maria Carro

7. Gregory A. Chechkin

8. Gianni Dal Maso

9. Sten Kaijser

10. Anna H. Kaminska

11. Mikio Kato

12. Vakhtang Kokilashvili

13. Alois Kufner

14. Lech Maligranda

15. Constantin Niculescu

16. Ludmila Nikolova

17. Ryskul Oinarov

18. Josip Pecaric

19. Andrey L. Piatnitski

20. Gord Sinnamon

21. Gunnar Sparr

22. Vladimir Stepanov

23. Thomas Stromberg

24. Nils E. M. Svanstedt

25. Zamira Abdikalikova

26. Shaul Abramovich – Accompanying person

45

27. Shoshana Abramovich

28. Miros law Adamek

29. Andrea Aglic Aljinovic

30. Elona Agora

31. Francis A. K. Allotey

32. Hasan Almanasreh

33. Ilko Brnetic

34. Betuel Canhanga

35. Chechkin – accompanying person (wife of Gregory Chechkin)?

36. Ambroz Civljak

37. Olvido Delgado

38. Hermann Douanla

39. Biserka Drascic Ban

40. Emmanuel Essel

41. John Fabricius

42. W lodzimierz Fechner

43. Zywilla Fechner

44. Masatoshi Fujii

45. Roman Ger

46. Michael L. Goldman

47. Frank Hansen

48. Pankaj Jain

49. Maria Johansson

50. Aigerim Kalybay

51. Yulia Koroleva

52. Mario Krnic

53. Kristina Krulic

54. Komil Kuliev

46

55. Anca-Nicoleta Marcoci

56. Liviu-Gabriel Marcoci

57. Katsuo Matsuoka

58. Jadranka Micic Hot

59. Maria Nasyrova

60. Jadwiga Nikodem – accompanying person

61. Kazimierz Nikodem

62. Christopher A. Okpoti

63. Iryna Pankratova

64. Victor F. Payne

65. Pecaric – accompanying person (wife of Josip Pecaric)

66. Klas Pettersson

67. Dora Pokaz

68. Dmitry Prokhorov

69. Salvador Rodriguez

70. Mikaela Rohdin?

71. Kichi-Suke Saito

72. Enrique A. Sanchez-Perez

73. Lyazzat Sarybekova

74. Yuki Seo

75. Maria Pilar Silvestre Albero

76. Tamara V. Tararykova

77. Ainur Temirkhanova

78. Afonso Tsandzana

79. Sanja Varosanec

80. Peter Wall

81. Anna Wedestig?

47

b192ltu.diva-portal.org/smash/get/diva2:1011918/fulltext01.pdf · lectures of plenary and invited...

Documents