Weak and strong type weighted estimates for multilinear Calderon-Zygmund operators

被引：23
|
作者：
Li, Kangwei
Sun, Wenchang [1 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2014年 / 254卷
基金：
中国国家自然科学基金;
关键词：
Multilinear Calderon-Zygmund operators; Multiple A((P)over-right-arrow) weights; Weighted inequalities; NONSMOOTH KERNELS; MAXIMAL OPERATOR; COMMUTATORS; INEQUALITY; SPACES;
D O I：
10.1016/j.aim.2013.12.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the weighted estimates for multilinear Calderon-Zygmund operators from L-Pi (w(1)) x ... x L-pm (w(m)) to L-p(v (w) over right arrow), where 1 < p, p1, ... , p(m) < infinity with 1/p(1) + ... + 1/p(m) = 1/p and (w) over right arrow = (w(1), .... w(m)) is a multiple A((P) over right arrow) weight. We give weak and strong type weighted estimates of mixed Ap -> A(infinity) type. Moreover, the strong type weighted estimate is sharp whenever max(i) p(i) <= P'(mp - 1). (C) 2013 Elsevier Inc. All rights reserved.
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页码：736 / 771
页数：36
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