Almost Everywhere Strong Summability of Fej,r Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series

被引：0

作者：

Goginava, U. ^{[1
]}

机构：

[1] Ivane Javakhishvili Tbilisi State Univ, Tbilisi, Georgia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2018年 / 53卷 / 02期

基金：

美国国家科学基金会;

关键词：

Two-dimensional Walsh system; strong summability; a.e; summability; PHI-MEANS; CONVERGENCE; BMO;

D O I：

10.3103/S106836231802005X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove a BMO-estimate for rectangular partial sums of two-dimensional Walsh-Fourier series, and using this result we establish almost everywhere exponential summability of rectangular partial sums of double Walsh-Fourier series.

引用

页码：100 / 112

页数：13

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