Sharp weak bounds for Hausdorff operators

被引：0

作者：

Gao, Guilian ^{[1
]}

Zhao, Fayou ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ANALYSIS MATHEMATICA | 2015年 / 41卷 / 03期

关键词：

SPACES; BOUNDEDNESS;

D O I：

10.1007/s10476-015-0204-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We calculate weak bounds for the Hausdorff operator on Lebesgue spaces. As applications, we obtain sharp weak bounds for some integral operators, such as the fractional Hardy operators and Hilbert operators. We also conclude that the Hausdorff operator is bounded from Hardy spaces to weak Lebesgue spaces.

引用

页码：163 / 173

页数：11

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