BOUNDEDNESS OF HAUSDORFF OPERATORS ON HARDY SPACES IN THE HEISENBERG GROUP

被引：19
|
作者：
Wu, Qingyan [1 ]
Fu, Zunwei [1 ,2 ]
机构：
[1] Linyi Univ, Dept Math, Linyi 276005, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273100, Shandong, Peoples R China
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2018年 / 12卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hausdorff operator; Heisenberg group; Hardy space; power weight; local Hardy space; COMMUTATORS; BOUNDS;
D O I：
10.1215/17358787-2018-0006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the setting of the Heisenberg group, we define weighted Hardy spaces by means of their atomic characterization, and we establish the (sharp) boundedness of Hausdorff operators on power-weighted Hardy spaces. Moreover, we obtain sufficient and necessary conditions for the boundedness of Hausdorff operators on local Hardy spaces in the Heisenberg group.
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页码：909 / 934
页数：26
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