Two Operators Related to Marcinkiewicz Integrals

作     者：Hui Xia MO Shan Zhen LU 

作者机构：School of Science Beijing University of Post and Telecommunications Beijing 100876 China School of Mathematical Sciences Normal University Beijing 100875 China 

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

年 卷 期：2009年第25卷第10期

页      面：1617-1634页

核心收录：

学科分类：0202[经济学-应用经济学] 02[经济学] 020205[经济学-产业经济学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the NNSF of China (Grant No.10871024) SEDF of China (Grant No.20040027001) 

主　　题：generalized higher commutator of Marcinkiewicz integral multilinear Marcinkiewicz integral Herz-type Hardy space Lipschitz space 

摘      要：In this paper, the authors consider the boundedness of generalized higher commutator of Marcinkiewicz integral μΩ^b, multilinear Marcinkiewicz integral μΩ^A and its variation μΩ^A on Herz-type Hardy spaces, here Ω is homogeneous of degree zero and satisfies a class of L^s-Dini condition. And as a special case, they also get the boundedness of commutators of Marcinkiewicz integrals on Herz-type Hardy spaces.