The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels

被引：7

作者：

Chen, Yanping ^{[1
]}

Ding, Yong ^{[2
]}

Li, Ran ^{[2
]}

机构：

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

[2] Beijing Normal Univ, Lab Math & Complex Syst BNU, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 15期

关键词：

Commutator; Maximal hypersingular integrals; Variable kernel; BMO; Sobolev space; Spherical harmonic function; SPACES; OPERATORS; TRANSFORM; INEQUALITIES; EQUATIONS;

D O I：

10.1016/j.na.2011.04.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors proved that a class of maximal hypersingular integrals with variable kernels are bounded from the Sobolev space. (L) over dot(gamma)(2) (R(n)) to the Lebesgue space L(2)(R(n)), which is a substantial improvement and extension of some known results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4918 / 4940

页数：23

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