A generalized measure concentrated on a closed set of measure zero

被引：1
|
作者：
Yoneda, K [1 ]
机构：
[1] Univ Osaka Prefecture, Dept Math & Informat Sci, Osaka, Japan
来源：
ACTA MATHEMATICA HUNGARICA | 1999年 / 83卷 / 04期
关键词：
Control Function; Generalize Measure; Measure Zero; Walsh Series; Dyadic Group;
D O I：
10.1023/A:1006648620805
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
When E is a closed set of measure zero in the dyadic group and the Walsh series Sigma(k=0)(infinity) <(mu)over cap>(k)w(k)(x) satisfies [GRAPHICS] then for some c > 0, [GRAPHICS] Consequently any control function of the a.e, convergence is not L/(log(+) L)-integrable.
引用
收藏
页码：327 / 338
页数：12
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