TBILISI INTERNATIONAL CENTRE OF
MATHEMATICS AND INFORMATICS
ANNOUNCEMENTS FOR 2003
CALL
FOR PAPERS
On April 2224, 2003 the
Enlarged Sessions of the Seminar of I. Vekua Institute
of Applied Mathematics of I. Javakhishvili Tbilisi State University will be
held under the support of ISMP at UNESCO.
The sections of the seminar are :
Partial differential equations (directed by Prof. George Jaiani, scientific
secretary – Prof. Temur Jangveladze)
Mechanics of deformable solids (directed by Prof. Mikheil Basheleishvili,
scientific secretary – Prof. Merab Svanadze).
At the Seminar 20minute reports will be delivered.
Those wishing to participate are asked to contact by Email:
jaiani@viam.sci.tsu.ge
Deadline for applications: March 1,
2003.
Registration fee is $200.
The publishing of proceedings of the reports of the seminar is planned. The
diskette of the report, not exceeding 4 printed pages, in English, using TEX,
LATEX, AMSTEX, AMSLATEX programs, together with a hardcopy should be submitted
to the organizers of the Seminar during the seminar days.
The work of the seminar will start on April 22, 2003, at 10.00 at I.
Vekua Institute of Applied Mathematics of I.Javakhishvili Tbilisi State
University (2, University st.)
Organizing
Committee
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Advanced Course on Function Spaces and Applications 2
Date: 13  20 September, 2003
Location: TICMI (Tbilisi)
Vakhtang Kokilashvili (A. Razmadze Mathematical Institute of the Georgian
Academy of Sciences, Tbilisi,
Georgia)
INTEGRAL OPERATORS IN BANACH FUNCTION SPACES WITH VARIABLE EXPONENT
Summary: The Banach function spaces with variable exponent and
related Sobolev type spaces proved to be an appropriate tool to study models
with nonstandard local growth (in elasticity theory, physics, fluid mechanics,
differential equation). Those applications stimulate a quickly developing
progress in the theory of mentioned spaces.
Although the spaces $L^{p(\cdot)}$ posseses some undesirable properties
(functions from these spaces are not $p(x)$mean continuos, the space
$L^{p(\cdot)}(\Omega)$ is not translation invariant, convolution operators in
general do not behave well and so on).
In our lecture we plan to give the solutions of the boundedness and
compactness problems in weighted Banach function spaces for classical integral
operators. In particular, we will present the boundedness criteria for the
Hilbert transform, Cauchy singular integrals and potentials in weighted
Lebesgue spaces with power weights.
Some applications to singular integral equations and boundary value problems
for analytic functions within the framework of the spaces with variable
exponent will treated.
Alois Kufner (Mathematical Institute, Academy of
Scinces, Czech Republic)
HARDY INEQUALITY AND ITS MODIFICATIONS
Summary: As a continuation of the lecture series presented at TICMI
1999, this time the series will deal with several problems connected with the
Hardy inequality and its modifications, in particular, with
 higher order inequalities
for welldetermined and overdetermined classes of functions,
 fractional order Hardy
inequalities,
 weighted inequalities on
cones of functions,
 the llimit case of Hardy’s
inequality (i.e., the CarlemanKnopp inequality),
 the critical exponent for
compact weighted imbeddings.
These results will be used to derive some (basic) properties of the spectra
of some (in general nonlinear) degenerates and singular differential operators.
Coordinator: George Jaiani
This course is suitable for advanced graduate students or recent Ph.D.'s.
The participants will also have an opportunity to give 20minute talkes on
their own work at a minisymposium which will take place during the Advanced
Course. Lectures and abstracts of the talks will be published and distributed
among the lecturers and participants after Advanced Course. The registration
fee for participants is 400 USD which includes all local expenses during the
Advanced Course. A restricted number of participants will be awarded grants.
Further information: TICMI, I.Vekua Institute of Applied Mathematics
of Tbilisi State University, University St.
2, Tbilisi 0143, Georgia
e.mail: jaiani@viam.sci.tsu.ge
Tel.:+995 32 305995
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Workshop "Polynomials and Their Applications"
Date: 2224 September, 2003
Location: TICMI (Tbilisi)
Coordinators: Prof. G. Jaiani,
Prof. P.E. Ricci
Further information: TICMI, I.Vekua Institute of Applied Mathematics
of Tbilisi State University, University St.
2, Tbilisi 0143, Georgia
e.mail: jaiani@viam.sci.tsu.ge
Tel.:+995 32 305995
