Sharp estimates of p-adic hardy and Hardy-Littlewood-Pólya operators

被引：0

作者：

Zun Wei Fu

Qing Yan Wu

Shan Zhen Lu

机构：

[1] Linyi University,Department of Mathematics

[2] Beijing Normal University,School of Mathematical Sciences

来源：

Acta Mathematica Sinica, English Series | 2013年 / 29卷

关键词：

-Adic Hardy operator; -Adic Hardy-Littlewood-Pólya operator; central BMO function; Herz space; 11F85; 47A63; 47G10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we get the sharp estimates of the p-adic Hardy and Hardy-Littlewood-Pólya operators on Lq(|x|pαdx). Also, we prove that the commutators generated by the p-adic Hardy operators (Hardy-Littlewood-Pólya operators) and the central BMO functions are bounded on Lq(|x|pαdx), more generally, on Herz spaces.

引用

页码：137 / 150

页数：13

共 27 条

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