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
收藏
页码：707 / 728
页数：22
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