The boundedness for commutators of maximal hypersingular integrals with rough kernels

被引：1

作者：

Chen YanPing ^{[1
]}

Ding Yong ^{[2
,3
]}

Li Ran ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[3] Minist Educ, Lab Math & Complex Syst BNU, Beijing 100875, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2013年 / 56卷 / 04期

基金：

中国国家自然科学基金;

关键词：

commutator; maximal hypersingular integrals; rough kernel; BMO; sobolev space; DISTRIBUTION SPACES; OPERATORS; TRANSFORM;

D O I：

10.1007/s11425-012-4459-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the commutators of maximal hypersingular integrals with rough kernels are bounded from the Sobolev space to the Lebesgue space L (p) (a"e (n) ), which is a substantial improvement and an extension of some known results.

引用

页码：707 / 728

页数：22

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