On the Cesaro summability with respect to the Walsh-Kaczmarz system

被引：38

作者：

Simon, P ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Numer Anal, H-1518 Budapest, Hungary

来源：

JOURNAL OF APPROXIMATION THEORY | 2000年 / 106卷 / 02期

关键词：

D O I：

10.1006/jath.2000.3488

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Walsh system will be considered in the Kaczmarz rearrangement. We show that the maximal operator sigma* Of the (C,1)-means of the Walsh-Kaczmarz-Fourier series is bounded from the dyadic Hardy space H(P) into L(P) for every 1/2 < p <less than or equal to> 1. From this it follows by standard arguments that sigma* is of weak type (1, 1) and bounded from L(q) into L(q) if 1 < q <less than or equal to> infinity. (C) 2000 Academic Press.

引用

页码：249 / 261

页数：13

共 12 条

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