13 citations · 13 across the 30 of their papers we have counts for
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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…