Weighted Norm Inequalities with General Weights for the Commutator of Calderón

被引：1
|
作者：
Guo En HU [1 ]
Yue Ping ZHU [2 ]
机构：
[1] Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute
[2] School of Science, Nantong University
来源：
Acta Mathematica Sinica,English Series | 2013年 / 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;
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 a sharp function estimate and an idea of Lerner, the authors establish someweighted estimates for the m-multilinear integral operator which is bounded from L1(Rn)×···×L1 (Rn)to L1/m,∞ (Rn),, and the associated kernel K(x; y1, . . . , ym)) enjoys a regularity on the variable x. As anapplication, weighted estimates with general weights are given for the commutator of Calderón.
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页码：505 / 514
页数：10
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