SHARP WEAK ESTIMATES FOR HARDY-TYPE OPERATORS

被引：16

作者：

Gao, Guilian ^{[1
]}

Hu, Xiaomin ^{[1
]}

Zhang, Chunjie ^{[1
]}

机构：

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

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2016年 / 7卷 / 03期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Hardy operator; the conjugate Hardy operator; central Morrey space; weak central Morrey space; duality; INEQUALITIES; CONSTANTS; BOUNDS;

D O I：

10.1215/20088752-3605447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove the weak bound for an n-dimensional Hardy operator on a central Morrey space. Meanwhile, we obtain the precise operator norm, and we give the weak bounds for the conjugate Hardy operator on Lebesgue space with power weights. The corresponding operator norms are also computed. As an application, we obtain an estimate for the gamma function.

引用

页码：421 / 433

页数：13

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