Hausdorff operators on the power weighted Hardy spaces

被引：38
|
作者：
Ruan, Jianmiao [1 ]
Fan, Dashan [2 ]
机构：
[1] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310012, Zhejiang, Peoples R China
[2] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hausdorff operator; Hardy space; Local Hardy space; Power weight; BOUNDEDNESS;
D O I：
10.1016/j.jmaa.2015.07.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the high-dimensional Hausdorff operators on the power weighted Hardy spaces. We establish their sharp boundedness on power weighted Hardy spaces and local Hardy spaces. Particularly, our results solve an open question posted by Liflyand in [16]. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：31 / 48
页数：18
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