Mixed radial-angular bounds for Hardy-type operators on Heisenberg group

被引：0

作者：

Hang, Zhongci ^{[1
]}

Yan, Dunyan ^{[2
]}

Li, Xiang ^{[1
]}

机构：

[1] Shandong Jianzhu Univ, Sch Sci, Jinan, Peoples R China

[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Hardy operator; dual operator; weighted Hardy operator; weighted Cesa`ro operator; mixed radial-angular space; Heisenberg group; HAUSDORFF OPERATORS; COMPACTNESS; SPACES;

D O I：

10.3934/math.20231070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study n-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg group and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of n-dimensional weighted Hardy operator and weighted Cesa`ro operator are also obtained.

引用

页码：21022 / 21032

页数：11

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