Commutators of Parabolic Singular Integrals on the Generalized Morrey Spaces

被引：0

作者：

Yan-ping CHEN ^{[1
]}

Yong DING ^{[2
]}

机构：

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

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

来源：

Acta Mathematicae Applicatae Sinica | 2014年 / 02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：

parabolic singular integrals; commutators; BMO; generalized Morrey space;

D O I：

暂无

中图分类号：

O175.26 [抛物型方程];

学科分类号：

070104 ;

摘要：

Let[b,T]be the commutator of parabolic singular integral T.In this paper,the authors prove that the boundedness of[b,T]on the generalized Morrey spaces implies b∈BM O(Rn,ρ).The results in this paper improve and extend the Komori and Mizuhara’s results.

引用

页码：367 / 378

页数：12

共 5 条

[1] Lp bounds for the commutator of parabolic singular integral with rough kernels [J].

Chen, Yanping ;

Ding, Yong .

POTENTIAL ANALYSIS, 2007, 27 (04) :313-334

[2]

Singular Integral Operators, Morrey Spaces and Fine Regularity of Solutions to PDE's [J] . Dian K. Palagachev,Lubomira G. Softova.&nbsp&nbspPotential Analysis . 2004 (3)

[3]

Singular Integrals and Commutators in Generalized Morrey Spaces [J] . Lubomiea Softova.&nbsp&nbspActa Mathematica Sinica, English Series . 2006 (3)

[4]

Besov-Morrey spaces: Function space theory and applications to non-linear PDE [J] . Anna L. Mazzucato.&nbsp&nbspTransactions of the American Mathematical Society . 2002 (4)

[5]

On the solutions of quasi-linear elliptic partial differential equations [J] . Charles B. Morrey.&nbsp&nbspTransactions of the American Mathematical Society . 1938 (1)

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