Singular measures with absolutely continuous convolution squares on locally compact groups

被引：2

作者：

Bisbas, A ^{[1
]}

机构：

[1] Univ Aegean, Dept Math, Karlovasi 83200, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 10期

关键词：

singular measures; Rademacher functions;

D O I：

10.1090/S0002-9939-99-04827-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Saeki's result states that on any locally compact nondiscrete group there exist continuous singular measures, with respect to the left Haar measure, mu with mu * mu in L-p for all p, 1 less than or equal to p < infinity. This paper gives a new and short proof of this using Rademacher-Riesz products.

引用

页码：2865 / 2869

页数：5

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