Hausdorff Operators on the Heisenberg Group

被引：0
|
作者：
Jiu Hua GUO [1 ]
Li Jing SUN [2 ]
Fa You ZHAO [1 ]
机构：
[1] Department of Mathematics, Shanghai University
[2] Department of Mathematical Sciences, University of Wisconsin-Milwaukee
来源：
Acta Mathematica Sinica,English Series | 2015年 / 11期
基金：
中国国家自然科学基金;
关键词：
Hausdorff operator; Heisenberg group; multilinear; sharp estimate;
D O I：
暂无
中图分类号：
O152 [群论];
学科分类号：
070104 ;
摘要：
This paper is devoted to the high-dimensional and multilinear Hausdorff operators on the Heisenberg group H n. The sharp bounds for the strong type(p, p)(1 ≤ p ≤∞) estimates of n-dimensional Hausdorff operators on H n are obtained. The sharp bounds for strong(p, p) estimates are further extended to multilinear cases. As an application, we derive the sharp constant for the multilinear Hardy operator on H n. The weak type(p, p)(1 ≤ p ≤∞) estimates are also obtained.
引用
收藏
页码：1703 / 1714
页数：12
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