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20122022
most citedOn the convergence of double Fourier series of functions of bounded partial generalized variation

13 citations · 13 across the 9 of their papers we have counts for

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math.AP2022

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…

math.AP2019

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…

math.AP2019

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…

math.AP2018

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…

math.AP2017

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 .

math.AP2013

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…