Weighted Norm Inequalities for a Class of Multilinear Singular Integral Operators

被引：0
|
作者：
Rongqian WANG [1 ]
机构：
[1] Basic Education and Scientific Department,Henan Polytechnic Institute
来源：
Journal of Mathematical Research with Applications | 2014年 / 34卷 / 02期
关键词：
multilinear singular integral operator; weighted norm inequality; sharp function estimate; BMO;
D O I：
暂无
中图分类号：
O177.6 [积分变换及算子演算];
学科分类号：
070104 ;
摘要：
In this paper, weighted estimates with general weights are established for the multilinear singular integral operator defined by TAf(x) = p. v.RnΩ(x- y)|x- y|n+1 A(x)- A(y)- A(y)(x- y) f(y)dy,where Ω is homogeneous of degree zero, has vanishing moment of order one, and belongs to Lipγ(Sn-1) with γ∈(0, 1], A has derivatives of order one in BMO(Rn).
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页码：168 / 174
页数：7
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