Almost everywhere strong summability of double Walsh-Fourier series

被引：1
|
作者：
Gat, G. [1 ]
Goginava, U. [2 ]
机构：
[1] Inst Math & Comp Sci, Nyiregyhaza, Hungary
[2] Ivane Javakhishvili Tbilisi State Univ, Tbilisi, Georgia
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2015年 / 50卷 / 01期
基金：
美国国家科学基金会;
关键词：
Two-dimensional Walsh system; strong Marcinkiewicz means; a; e; convergence; STRONG APPROXIMATION; CONVERGENCE;
D O I：
10.3103/S106836231501001X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a question of almost everywhere strong convergence of the quadratic partial sums of two-dimensional Walsh-Fourier series. Specifically, we prove that the asymptotic relation as n -> a holds a.e. for every function of two variables belonging to L logL and for 0 < p currency sign 2. Then using a theorem by Getsadze [6] we infer that the space L log L can not be enlarged by preserving this strong summability property.
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页码：1 / 13
页数：13
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