Weighted estimates for commutators of vector-valued maximal multilinear operators

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• 作者：Zengyan Si ; Qingying Xue
• 关键词：Maximal multilinear operators ; Multilinear Calderó ; n&ndash ; Zygmund operators ; Commutators ; Vector-valued inequalities
• 刊名：Nonlinear Analysis
• 出版年：February, 2014
• 年：2014
• 卷：96
• 期：Complete
• 页码：96-108
• 全文大小：445 K

文摘

Let be the maximal multilinear Calder贸n-Zygmund operator defined by , and be the vector-valued version of , , where are the smooth truncations of the multilinear singular integral operator . In this paper, we consider weighted norm inequalities for the iterated commutators of vector-valued maximal multilinear operators . The weighted strong type and weighted end-point weak type estimates for the iterated commutators of were established respectively.