Two Operators Related to Marcinkiewicz Integrals  

作　　者：Hui Xia MO Shan Zhen LU 

机构地区：[1]School of Science, Beijing University of Post and Telecommunications, Beijing 100876, China [2]School of Mathematical Sciences, Normal University, Beijing 100875, China

出　　处：《Acta Mathematica Sinica,English Series》2009年第10期1617-1634,共18页数学学报（英文版）

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

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.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.

关 键 词：generalized higher commutator of Marcinkiewicz integral multilinear Marcinkiewicz integral Herz-type Hardy space Lipschitz space 

分 类 号：O174.2[理学—数学] F626[理学—基础数学]