13 citations · 13 across the 30 of their papers we have counts for
26 papers · 1 filter
Limits of sequence of Tensor Product Operators associated with the Walsh-Paley system
Ushangi Goginava, Farrukh Mukhamedov
It is well-known that to establish the almost everywhere convergence of a sequence of operators on -space, it is sufficient to obtain a weak -type inequality for the ma…
Limits of sequences of operators associated with Walsh System
Ushangi Goginava, Farrukh Mukhamedov
The aim of the current paper is to determine the necessary and sufficient conditions for the weights , ensuring that the sequence of operators $\left\{ T_{n}^{\…
On problems of the Divergence of logarithmic means of Fourier series
Ushangi Goginava, Farrukh Mukhamedov
The main objective of the present paper is to solve the several long standing divergence problems related to the logarithmic means of Fourier series in context of general orthonorm…
Maximal Operators of Walsh-Nörlund means On the Dyadic Hardy Spaces
Ushangi Goginava
The presented paper will be proved the necessary and sufficient conditions in order maximal operator of Walsh-Nörlund means with non-increasing weights to be bounded from the dyadi…
On the divergence of subsequences of partial Walsh-Fourier sums
Ushangi Goginava, Giorgi Oniani
A class of increasing sequences of natural numbers is found for which there exists a function such that the subsequence of partial Walsh-Fourier sums $(S_{n_k…
Conjugate Transforms on Dyadic Group
Ushangi Goginava, Aleksandre Saatashvili
In this paper we study the properties of the Lebesgue constant of the conjugate transforms. For conjugate Fejér means we will find necessary and sufficient condition on for whi…
Logarithmic means of Walsh-Fourier Series
Ushangi Goginava
In this paper we discuss some convergence and divergence properties of subsequences of logarithmic means of Walsh-Fourier series . We give necessary and sufficient conditions for t…
On almost everywhere exponential summability of rectangular partial sums of double trigonometric Fourier series
Ushangi Goginava, Grigori Karagulyan
In this paper we study the a.e. exponential strong summability problem for the rectangular partial sums of double trigonometric Fourier series of the functions from .
Strong Summability of Two-Dimensional Vilenkin Fourier series
Ushangi Goginava
In this paper we study the exponential uniform strong summability of two-dimensional Vilenkin-Fourier series. In particular, it is proved that the two-dimensional Vilenkin-Fourier…
Strong Approximation by Marcinkiewicz Means of two-dimensional Walsh-Kaczmarz-Fourier Series
Ushangi Goginava, Karoly Nagy
In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh-Kaczmarz-Fourier series. In particular, it is proved that the Mar…
Pointwise convergence of Marcinkiewicz-Fejer means of double Vilenkin-Fourier series
Ushangi Goginava
In this paper we give a characterization of points in which Marcinkiewicz-Fejer means of double Vilenkin-Fourier series converges.
Almost Everywhere Strong Summability of Fejer means of rectangular partial sums of two-dimensional Walsh-Fourier Series
Ushangi Goginava
It is proved a BMO-estimation for rectangular partial sums of two-dimensional Walsh-Fourier series from which it is derived an almost everywhere exponential summability of rectangu…
Almost Everywhere Strong Summability of two-dimensional Walsh-Fourier Series
Ushangi Goginava
It is proved a BMO-estimation for quadratic partial sums of two-dimensional Walsh-Fourier series from which it is derived an almost everywhere exponential summability of quadratic…
Convergence and Summability of Multiple Fourier series and generalized variation
Ushangi Goginava, Artur Sahakian
In this paper we present results on convergence and Cesàro summability of Multiple Fourier series of functions of bounded generalized variation.
Convergence of logarithmic means of Multiple Walsh-Fourier series
György Gát, Ushangi Goginava
The maximal Orlicz spaces such that the mixed logarithmic means of multiple Walsh-Fourier series for the functions from these spaces converge in measure and in norm are found.
On the Convergence and Summability of double Walsh-Fourier series of functions of bounded generalized variation
Ushangi Goginava, Artur Sahakian
The convergence of partial sums and Cesáro means of negative order of double Walsh-Fourier series of functions of bounded \ generalized variation is investigated.
Almost Everywhere Strong Summability of Double Walsh-Fourier Series
G. Gát, U. Goginava
In this paper we study the a. e. strong convergence of the quadratical partial sums of the two-dimensional Walsh-Fourier series. Namely, we prove the a.e. relation $(\frac{1}{n}\su…
Convergence in Norm of logarithmic means of Multiple Fourier series
Ushangi Goginava, Larry Gogoladze
The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in -norm is found.
Triangular Fejér Summability of Two-Dimensional Walsh-Fourier series
György Gát, Ushangi Goginava
It is proved that the operators of the triangular-Fej{é}r-means of a two-dimensional Walsh--Fourier series are uniformly bounded from the dyadic Hardy spac…
Convergence in Measure of Strong logarithmic means of double Fourier series
Ushangi Goginava, Larry Gogoladze
Nörlund strong logarithmic means of double Fourier series acting from space into space are studied. The maximal Orlicz…
Convergence of logarithmic means of quadratical partial sums of double Fourier series
Ushangi Goginava
In this paper we investigate some convergence and divergence properties of the logarithmic means of quadratical partial sums of double Fourier series of functions in the measure an…
On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation
Ushangi Goginava, Artur Sahakian
The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial -variation is investigated. The sufficient and neccessar…
On the convergence of multiple Fourier series of functions of bounded partial generalized variation
Ushangi Goginava, Artur Sahakian
The convergence of multiple Fourier series of functions of bounded partial -variation is investigated. The sufficient and necessary conditions on the sequence are…
On the convergence of double Fourier series of functions of bounded partial generalized variation
Ushangi Goginava, Artur Sahakian
The convergence of double Fourier series of functions of bounded partial -variation is investigated. The sufficient and necessary conditions on the sequence are foun…