Variable Hardy Spaces on the Heisenberg Group  

作　　者：Jingxuan Fang Jiman Zhao 

机构地区：[1]School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing 100875, China

出　　处：《Analysis in Theory and Applications》2016年第3期242-271,共30页分析理论与应用（英文刊）

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.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.

关 键 词：Hardy spaces variable exponents Heisenberg group atomic decomposition Littlewood-Paley characterization. 

分 类 号：O177[理学—数学]