Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces

被引：0

作者：

Yan Ping CHEN ^{[1
]}

Yong DING ^{[2
]}

Xin Xia WANG ^{[3
]}

机构：

[1] Department of Applied Mathematics, Mathematical and Physical School, University of Science and Technology Beijing

[2] School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education

[3] The College of Mathematics and System Science, Xinjiang University

来源：

Acta Mathematica Sinica,English Series | 2013年 / 06期

基金：

中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

Hypersingular integral; paraproduct; commutator; Sobolev space;

D O I：

暂无

中图分类号：

O172.2 [积分学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ (Rn) to the Lebesgue space Lp(Rn) for 1<p<∞ and 0 < γ < min{ n/2 , n/p }.

引用

页码：1043 / 1054

页数：12

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