ALMOST EVERYWHERE CONVERGENCE OF THE CESARO MEANS OF TWO VARIABLEWALSH-FOURIER SERIES WITH VARIABLE PARAMETERS

被引：0

作者：

Joudeh, A. A. Abu ^{[1
]}

Gat, G. ^{[1
]}

机构：

[1] Univ Debrecen, Inst Math, Debrecen, Hungary

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2021年 / 73卷 / 03期

关键词：

D O I：

10.1007/s11253-021-01928-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the maximal operator of some (C, beta(n))-means of cubical partial sums of two variable Walsh-Fourier series of integrable functions is of weak type (L-1, L-1). Moreover, the (C, beta(n))-means sigma(beta n)(2n) f of the function f is an element of L-1 converge a.e. to f for f is an element of L-1(I-2), where I is the Walsh group for some sequences 1 > beta(n) SE arrow 0.

引用

页码：337 / 358

页数：22

共 13 条

[1] CONVERGENCE OF CESARO MEANS WITH VARYING PARAMETERS OF WALSH-FOURIER SERIES [J].