Walsh-Lebesgue points of multi-dimensional functions

被引：4
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.
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页码：307 / 324
页数：18
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