New Hardy Spaces Associated with Some Anisotropic Herz Spaces and Their Applications

作     者：Yong Ding Sen Hua Lan Shan Zhen Lu 

作者机构：School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems (BNU) Ministry of Education Beijing 100875 P. R. China Department of Mathematics Lishui University Lishui 323000 P. R. China 

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

年 卷 期：2008年第24卷第9期

页      面：1449-1470页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：NSF of China (Grant Nos.10571014 and 10571015) SRFDP of China (Grant No.20050027025) 

主　　题：anisotropic Hardy space anisotropic Herz-type Hardy space central atom central molecule δ -Calderón-Zygmund operator 

摘      要：In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ n are introduced, and the central atomic and molecular decomposition characterizations of those spaces are established. As some applications of the decomposition theory, the authors study the interpolation problem and the boundedness of the central δ-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.