Variable Exponent Herz Type Hardy Spaces and Their Applications  

作　　者：Baohua Dong Jingshi Xu 

机构地区：[1]Department of Mathematics,University of Macao [2]Department of Mathematics,Hainan Normal University

出　　处：《Analysis in Theory and Applications》2015年第4期321-353,共33页分析理论与应用（英文刊）

基　　金：partially supported by the NSF of China (Grants No.11361020);the Natural Science Foundation of Hainan Province (No.20151011)

摘　　要：In this paper,the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decompositions,the authors obtain the boundedness of some singular integral operators on the Herz type Hardy spaces with variable exponents.In this paper,the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decompositions,the authors obtain the boundedness of some singular integral operators on the Herz type Hardy spaces with variable exponents.

关 键 词：Hardy space Herz space variable exponent maximal function ATOM MOLECULE 

分 类 号：O177[理学—数学]