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 

出　　处：《Science China Mathematics》2010年第7期1859-1872,共14页中国科学：数学（英文版）

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

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.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.

关 键 词：MULTILINEAR Calderón-Zygmund operator COMMUTATOR weighted NORM INEQUALITY interpolation EXTRAPOLATION 

分 类 号：O178[理学—数学]