Weighted norm inequalities for the multilinear Calderón-Zygmund operators

被引：5

作者：

HU GuoEn Department of Applied Mathematics

机构：

来源：

Science China Mathematics | 2010年 / 53卷 / 07期

基金：

中国国家自然科学基金;

关键词：

multilinear Calderón-Zygmund operator; commutator; weighted norm inequality; interpolation; extrapolation;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1859 / 1872

页数：14

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