Hardy space estimates of Hausdorff operators on the Heisenberg group

被引：20

作者：

Wu, Qingyan ^{[1
]}

Fan, Dashan ^{[2
]}

机构：

[1] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China

[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 164卷

基金：

中国国家自然科学基金;

关键词：

Hausdorff operator; Heisenberg group; Hardy space; Riesz transforms; Schrodinger representation; LITTLEWOOD AVERAGES; BOUNDEDNESS; BOUNDS;

D O I：

10.1016/j.na.2017.09.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a continuation of a series of works about Hausdorff operator on Hardy spaces in the setting of the Heisenberg group. In this paper, we obtain the boundedness from Lebesgue spaces to Hardy spaces for fractional Hausdorff operators and their compositions with Riesz transforms. We also establish the boundedness for two kinds of special Hausdorff operators, the Hausdorff-Poisson operator and the Hausdorff-Gauss operator, on Hardy spaces. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：135 / 154

页数：20

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