Weighted Norm Inequalities with General Weights for the Commutator of Calderon

被引：11
|
作者：
Hu, Guo En [1 ]
Zhu, Yue Ping [2 ]
机构：
[1] Zhengzhou Informat Sci & Technol Inst, Dept Appl Math, Zhengzhou 450002, Peoples R China
[2] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Approximation to the identity; weighted norm inequality; singular integral operator; maximal operator; non-smooth kernel; SINGULAR-INTEGRALS; MAXIMAL OPERATOR;
D O I：
10.1007/s10114-012-1352-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L-1(R-n)x . . . x L-1(R-n) to L-1/m,L-infinity(R-n), and the associated kernel K(x; y(1), . . . , y(m)) enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of Calderon.
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页码：505 / 514
页数：10
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