The
September 17
A.Gogatishvili,
T. Kopaliani
Abstract
We obtain one variant of the extrapolation
theorem of Rubio de Fracia for variable exponent
Lebesgue spaces.
As a consequence we obtain conditions guarantee
boundedness of strongly singular integral operators,
singular integral operators with rough kernels,
fractional maximal operators related to spherical
means, Bochner-Riesz
operators in variable Lebesgue spaces.
September 24
A.Gogatishvili, T. Kopaliani
Boundedness of
the Stein’s spherical maximal function, singular
integral operators, Riesz potential
Abstract
We obtain extension of the extrapolation theorem of
Rubio de Francia for weighted generalized Morrey space.
As a
consequence we obtain conditions guarantee boundedness
of many classical operators in harmonic analysis in
weighted generalized
Morrey spaces.
October 1
A. Gogatishv T. Kopaliani
A priori
estimate of solutions of wave equation on
variable Lebesgue spaces
October 8
U. Goginava
Pointwise
convergence of Marcinkiewicz-Fejer means
of
d-dimensional Vilenkin-Fourier series
October
10
U. Goginava
On the convergence of multiple Walsh-Fourier
series
of functions of bounded
generalized
variation
June 10
A.Gogatishvili
A new reduction principle for integral operators on
the semiaxis with general kernel, restricted on the
cone of quasi-concave functions in Lp-Lq setting
June 17
The unconditional wavelet bases in
W^{k,p(.)}(R^n).
June
26
June 29
A.Aplakov
On
the absolute convergence of the series of Fourier-Haar
coefficients
A.
Danelia
The exact estimates of the partial moduli of
smoothness of fractional order of the conjugate
functions of many variables in the functional
classes H(\varphy, T^n))
September 23
A. Gogatishvili,
T. Kopaliani
Compactnes of Hardy-Volterra
type operator in variable Lebesgue
spaces
September
30
U. Goginava
Logarithmic summability of Fourier series
2016
January
27
T.Kopaliani, N.Samashvili, A. Gogatishvili
A wavelet characterization of local Hardy spaces
Weak type inequality for maximal operator of Marcinkiewicz-Fejer
means of d-dimensional
Vilenkin-Fourier series
February 24
G.Tephnadze
On the d-dimensional Vilenkin-Marcinkiewicz means on the
Hardy spaces
May 4
A.Gogatishvili and
T.
Kopaliani
Desscription
of the
complex
interpolation spaces
between sobolev
spaces with variable
exponents
A. Gogatishvili and T.
Kopaliani
A
estimates for moduli
of smoothness and their applications
to the
embeddings of Sobolev and
Besov type spaces
May
18
U.Goginava
Strong
summability
of two-dimensional
Vilenkin Fourier series
June 22
U. Goginava