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

作　　者：Yong Ding  Sen Hua Lan Shan Zhen Lu 

机构地区：[1] School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU), Ministry of Education, Beijing, 100875, P. R. China [2] Department of Mathematics, Lishui University, Lishui, 323000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第9期1449-1470,共22页数学学报（英文版）

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

摘　　要：In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on &#8477;<SUP> n </SUP>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 &#948;-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on &#8477;<SUP> n </SUP>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 &#948;-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.

关 键 词：anisotropic Hardy space anisotropic Herz-type Hardy space central atom central molecule δ -Calderón-Zygmund operator 

分 类 号：O177[理学—数学]