Variable Hardy Spaces on the Heisenberg Group

被引：0
|
作者：
Jingxuan Fang [1 ]
Jiman Zhao [1 ]
机构：
[1] School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University
来源：
Analysis in Theory and Applications | 2016年 / 32卷 / 03期
关键词：
Hardy spaces; variable exponents; Heisenberg group; atomic decomposition; Littlewood-Paley characterization;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
We consider Hardy spaces with variable exponents defined by grand maximal function on the Heisenberg group. Then we introduce some equivalent characterizations of variable Hardy spaces. By using atomic decomposition and molecular decomposition we get the boundedness of singular integral operators on variable Hardy spaces. We investigate the Littlewood-Paley characterization by virtue of the boundedness of singular integral operators.
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页码：242 / 271
页数：30
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