Weighted norm inequalities for the multilinear Calderón-Zygmund operators

作     者：HU GuoEn Department of Applied Mathematics, Zhengzhou Information Sciences and Technology Institute,Zhengzhou 450002, China 

作者机构：1. Department of Applied Mathematics Zhengzhou Information Sciences and Technology Institute Zhengzhou 450002 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第7期

页      面：1859-1872页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China (Grant No.10671210) 

主　　题：multilinear Calderón-Zygmund operator commutator weighted norm inequality interpolation extrapolation 

摘      要：In this paper, by proving some suitable weighted endpoint estimates, and then by multilinear interpolation and a new multilinear extrapolation lemma, the author establishes some weighted estimates for the multilinear Calderón-Zygmund operator. Also, the author gives a weighted estimate for the corresponding commutator.