Maximal Summability Operators On the Dyadic Hardy Spaces

被引：4

作者：

Goginava, Ushangi ^{[1
]}

Ben Said, Salem ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates

来源：

FILOMAT | 2021年 / 35卷 / 07期

关键词：

Walsh Systems; Hardy Spaces; Boundedness of Maximal Operators; Logarithmic Means; Cesaro Means; NORLUND LOGARITHMIC MEANS; TRIGONOMETRIC FOURIER-SERIES; GENERALIZED CESARO MEANS; EVERYWHERE CONVERGENCE; VARYING PARAMETERS; RESPECT;

D O I：

10.2298/FIL2107189G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the maximal operators of subsequences of Norlund logarithmic means and Cesaro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces H-p to L-p. This implies an almost everywhere convergence for the subsequences of the summability means.

引用

页码：2189 / 2208

页数：20

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