- UNESCO Regional Bureau for Science in Europe -
- Georgian Academy of Sciences - Tbilisi State University -
Function Spaces, Integral Operators and Applications
August 31-September 4, 2005, Tbilisi, Georgia
Preliminary list of talks
R. Akgun (Balikesir University, Turkey)
Polynomial approximation in weighted Smirnov-Orlicz space
A. Bagdasaryan (Yerevan State University, Armenia)
On a certain operation of multiplication type of generalized Besov spaces for description of interpolation spaces
L. Bantsuri and G. Oniani (A. Tsereteli Kutaisi State University)
On the differential properties of functions of bounded variation in Hardy sense
G. Berikelashvili, O. Jokhadze and R. Koplatadze (A. Razmadze Mathematical Institute)
On the existence of positive and oscillation solutions of differential equations with delayed arguments
T. Chantladze, N. Kandelaki and D. Ugulava (N. Muskhelishvili Institute of Computational Mathematics)
Approximation of functions on locally compact Abelian groups
O. Chkadua (A. Razmadze Mathematical Institute)
Solvability and asymptotics of solutions of mixed boundary value dynamic problem with crack of electroelasticity
S. Chobanyan (N. Muskhelishvili Institute of Computational Mathematics)
An algorithm of rearrangement of summands in a normed space
O. Dragicevic (University of Ljubljana, Slovenia)
Martingales and sharp estimates for the Ahlfors-Beurling operator
O. Dzagnidze (A. Razmadze Mathematical Institute)
A criterion of Cn-differentiability and a new proof of Hartog's main theorem
L. Ephremidze (A. Razmadze Mathematical Institute)
On the ergodic Hilbert transform
U. Goginava and G. Tkebuchava (I. Javakhishvili Tbilisi State University)
Convergence of subsequences of partial sums and logarithmic means of Walsh-Fourier series
Z. Gogniashvili (I. Javakhishvili Tbilisi State University)
On some integral equations and boundary value problem in the case of surface with "conal" point
D. F. Goguadze (N. Muskhelishvili Institute of Computational Mathematics)
Generalizations and new definition of the abstract Lebesgue-Stieltjes integral
V. Guliyev (Mathematical Institute of Azerbaijan Academy of Sciences)
On generalized multilinear fractional integrals
D. M. Israfilov (Balikesir University, Turkey)
On the Mergelyan's conjecture for Bieberbach polynomials in closed smooth domains
A. Ivanov (University of Sofia, Bulgaria)
Concentration of energy for wave map problem
G. Karapetyan (Russian-Armenian State University, Armenia)
The smoothness properties of regular hypoelliptic equations depending on the parameter
A. Karapetyants (Rostov State University, Russia)
Compactness of Toeplitz operators with BMOλ1(D) symbols on weighted Bergman spaces and the Beresin tranform
S. Kharibegashvili (A. Razmadze mathematical Institute)
Nonexistence of the global solutions of the Cauchy characteristic problem for some wave equations with power nonlinearity
G. Kirtadze and G Panculaia (Georgian Technical University)
On null sets in infinite-dimensional Banach spaces
V. Kokilashvili and V. Paatashvili (A. Razmadze Mathematical Institute) and S. Samko (University of Algarve, Portugal)
Solution of boundedness problem for Cauchy singular operator in variable Lebesgue space
T. Kopaliani (I. Javakhishvili Tbilisi State University)
Sobolev embedding theorems for spaces Wk,p(·)(ℝn)
R. Koplatadze (A. Razmadze Mathematical Institute)
Nonlinear effect for oscillatory solutions of Emden-Fowler type ordinary differential equations
V. Kvaratskhelia and N. Vakhania (N. Muskhelishvili Institute of Computational Mathematics)
On inequalities between moments of normed measures
D. Mchedlishvili (I. Gogebashvili Telavi State University)
On two-weighted estimates for Fourier multipliers
Z. Melikidze (I. Javakhishvili Tbilisi State University)
On basis of multidimensional Haar type wavelet systems in the spaces Lp(dμ), 1 ≤ p ≤ ∞
A. Meskhi (A. Razmadze Mathematical Institute)
Two-weight estimates for potentials with product kernels and some applications in the solvability of nonlinear wave equations
B. Midodashvili (Georgian Technical University)
Generalized Goursat problem for a spatial fourth order hyperbolic equation with dominated low terms
A. Najafov (Mathematical Institute of Azerbaijan Academy of Sciences)
Some properties of functions from intersections of spaces Spμ, θμ,a,æ,τlμB(G) (μ = 1,2,...,N)
B. Oktay (Balikesir University, Turkey)
Approximation properties of the Bieberbach polynomials in closed Dini-smooth domains
V. Paatashvili and V. Kokilashvili (A. Razmadze Mathematical Institute)
The Dirichlet problem for holomorphic functions with boundary values from Lp(·)
A. Saginashvili (A. Razmadze Mathematical Institute)
On the oblique derivative problem for the Smirnov class of functions
S. Samko (University of Algarve, Portugal) and V. Kokilashvili (A. Razmadze Mathematical Institute)
Boundedness criteria in weighted Lp(·) spaces for maximal operators and potentials on Carleson curves and SHT
A. Shangua and V. Tarieladze (N. Muskhelishvili Institute of Computational Mathematics)
A permutational version of the Banach-Saks property
M. Tarulli (University of Pisa, Italy)
Smoothing estimates for the wave equation with magnetic potential
Sh. Tetunashvili (Georgian Technical University)
Convergence and uniqueness problems for multiple orthogonal series
T. Tetunashvili (I. Javakhishvili Tbilisi State University), V. Tsagareishvili, (I. Javakhishvili Tbilisi State University)
Properties of absolutely independent orthonormal systems
Ts. Tsanava (A. Razmadze Mathematical Institute)
On mean summability of Fourier series and Dirichlet problem on two-weighted setting
N. P. Tuzkaya (Balikesir University, Turkey)
On Cauchy singular integrals in Lorentz spaces with variable exponent
Y. E. Yildirir (Balikesir University, Turkey)
Approximation in weighted Bergman spaces on infinite domains
T. Zerekidze (I. Javakhishvili Tbilisi State University)
On the equivalence of differential bases
Scientific Programme
N.B.
Registration and sessions will held in the building of the Institute of Physics of the Georgian Academy of Sciences
Address: Tbilisi, Tamarashvili 6, near the Gotsiridze metro station.
Wednesday, August 31, 2005
1400–1445
Registration
1445–1500
Opening Ceremony
1500–1530 N. Vakhania (N. Muskhelishvili Institute of Computational Mathematics)
Prof. Archil Kharadze -- A Prominent Scientist, Teacher and Man
1535–1550 G. Tkebuchava, U. Goginava (I. Javakhishvili Tbilisi State University)
Convergence of subsequences of partial sums and logarithmic means of Walsh-Fourier series
1555–1610 T. Kopaliani (I. Javakhishvili Tbilisi State University)
Sobolev embedding theorems for Wk,p(·)(ℝn)
1615–1625
Coffee Break
1625–1640 Z. Melikidze (I. Javakhishvili State University)
On basis of multidimensional Haar type wavelet systems in the spaces Lp(dμ), 1 ≤ p ≤ ∞
1645–1700 D. Ugulava, N. Kandelaki and T. Chantladze (N. Muskhelishvili Institute of Computational Mathematics)
Approximation of functions on locally Abelian groups
1705–1720 V. Tsagareishvili (I. Javakhishvili State University)
Properties of absolutely independent orthonormal systems
Thursday, September 1, 2005
0930–1000 S. Samko (Algavre University) and V. Kokilashvili (A. Razmadze Mathematical Institute)
Boundedness criteria in weighted Lp(·) spaces for maximal operators and potentials on Carleson curves and on SHT
1005–1020 V. Kokilashvili, V. Paatashvili (A. Razmadze Mathematical Institute) and S. Samko
Solution of the boundedness problem for the Cauchy singular operator in the variable Lebesgue space
1025–1040 A. Bagdasaryan (Yerevan State University)
On certain operation of multiplication type of generalized Besov spaces for description of interpolation spaces
1040–1055
Coffee Break
1100–1115 O. Dragicevic (University of Ljubljana, Slovenia)
Martingales and sharp estimates for the Ahlfors-Beurling operator
1120–1135 A. Karapetyants (Rostov State University)
Compactness of Toeplitz operators with BMOλ1(D) symbols on weighted Bergman space and the Beresin transform
1140–1155 A. Meskhi (A. Razmadze Mathematical Institute)
Two-weight estimates for potentials with product kernels and some applications to the solvability of nonlinear wave equation
1300–1400
Lunch
1500–1515 G. Berikelashvili, O. Jokhadze and R. Koplatadze (A. Razmadze Mathematical Institute)
On the existence of positive and oscillation solutions of differential equations with delayed arguments
1520–1535 G. Karapetyan (Russian-Armenian University)
The smoothness properties of regular hypoelliptic equations depending on the parameter
1540–1555 G. Kharibegashvili (A. Razmadze Mathematical Institute)
Nonexistence of the global solutions of the Cauchy characteristic problem for some wave equations with power nonlinearity
1555–1610
Coffee Break
1610–1625 B. Midodashvili (Georgian Technical University)
Generalized Goursat problem for a spatial fourth order hyperbolic equations with dominated low terms
1630–1645 M. Tarully (University of Pisa)
Smoothing estimates for the wave equation with magnetic potential
1650–1705 A. Najafov (Baku Construction University)
Some properties of functions from intersections of spaces Spμ, θμ,a,æ,τlμB(G) (μ = 1,2,...,N)
Friday, September 2, 2005
0930–0945 S. Chobanyan (N. Muskhelishvili Institute of Computational Mathematics)
An algorithm of rearrangement of summands in a normed space
0950–1005 N. Vakhania and V. Kvaratskhelia (N. Muskhelishvili Institute of Computational Mathematics)
On inequalities between moments of normed measures
1010–1025 A. Changua and V. Tarieladze (N. Muskhelishvili Institute of Computational Mathematics)
A permutational version of the Banach-Saks property
1030–1045
Coffee Break
1045–1100 G. Pantsulaia and G. Kirtadze (Georgian Technical University)
On null sets in infinite-dimensional Banach spaces
1105–1120 L. Epremidze (A. Razmadze Mathematical Institute)
On the ergodic Hilbert transform
1125–1140 D. Mchedlishvili (I. Gogebashvili Telavi University)