Cesaro and Riesz summability with varying parameters of multi-dimensional Walsh-Fourier series

被引：5

作者：

Weisz, F. ^{[1
]}

机构：

[1] Eotvos L Univ, Dept Numer Anal, Pazmany P Setany 1-C, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2020年 / 161卷 / 01期

关键词：

Hardy space; atomic decomposition; Cesaro and Riesz summability; varying parameter; CONVERGENCE;

D O I：

10.1007/s10474-020-01024-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the maximal operator of subsequences of the Cesaro and Riesz means with varying parameters is bounded from the dyadic Hardy space H-p to L-p. This implies an almost everywhere convergence for the subsequences of tqoo.

引用

页码：292 / 312

页数：21

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