Weighted Endpoint Estimates for Commutators of Marcinkiewicz Integrals

作     者：Pu ZHANG 

作者机构：Department of Mathematics Mudanjiang Teachers College Mudanjiang 157012 P. R. China 

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

年 卷 期：2010年第26卷第9期

页      面：1709-1722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：Supported by Postdoctoral Foundation of Hei Long Jiang Province (Grant No. LBH-Q06002) 

主　　题：Marcinkiewicz integral commutator BMO(R^n) Ap weights 

摘      要：Let μΩ^mb be the commutator generalized by μΩ, the n-dimensional Marcinkiewicz integral, and b ∈ BMO（R^n）. The author establishes the weighted weak LlogL-type estimates for μΩ^mb when Ω satisfies a kind of Dini conditions, which improves the known result essentially.