Some Characterizations of Weighted Herz-type Hardy Spaces and Their Applications

作     者：Lu Shanzhen (Department of Mathematics,Beijing Normal University,Beijing,100875,China)(E-mail:lusz@***)Yang Dachun (Department of Mathematics,Beijing Normal University,Beijin9,100875,China)(E-mail:dcyang@***) 

作者机构：北京师范大学数学系 北京 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1997年第13卷第1期

页      面：45-58页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the NNSF of China 

主　　题：Herz space Herz-type Hardy space Potential operator 

摘      要：In this paper,the authors first establish some new real-variable characterizations of Herz- type Hardy spaces Hqα,p（ω1;ω2）and HKqα,P（ω1;ω2）,where ω1,ω2 ∈A1-weight,1q∞, n（1-1/q）≤α∞ and 0p∞.Then,using these new characterizations,they investigate the convergence of a bounded set in these spaces,and study the boundedness of some potential operators on these spaces.