Walsh-Lebesgue points of multi-dimensional functions

被引：5

作者：

Weisz, Ferenc ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary

来源：

ANALYSIS MATHEMATICA | 2008年 / 34卷 / 04期

关键词：

D O I：

10.1007/s10476-008-0404-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Walsh-Lebesgue points are introduced for higher dimensions and it is proved that a. e. point is a Walsh-Lebesgue point of a function f from the Hardy space H-1(i)[0,1)(d), where H-1(i)[0, 1)(d) superset of L(log L)(d-1)[0,1)(d) for all i = 1,..., d. Every function f epsilon H-1(i)[0, 1)(d) is Fejer summable at each Walsh-Lebesgue point. Similar theorem is verified for theta-summability.

引用

页码：307 / 324

页数：18