14 citations · 14 across the 3 of their papers we have counts for
5 papers
Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums
Istvan Blahota, Gyorgy Gat
We prove an almost everywhere divergence theorem for Cesàro means of subsequences of partial sums of Walsh--Fourier series. More precisely, we show that there exists a strictly inc…
Cesàro means of subsequences of partial sums of trigonometric Fourier series
György Gát
In 1936 Zygmunt Zalcwasser asked with respect to the trigonometric system that how "rare" can a sequence of strictly monotone increasing integers be such that the almost ev…
Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series
György Gát
In 1987 Harris proved (Proc. Amer. Math. Soc., 101) - among others- that for each there exists a two-dimensional function such that its triangular Walsh-Fouri…
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…
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…