L super(2)( super( )n Boundedness for the Commutators of Homogeneous Singular Integral Operators

The commutators of singular integral operators with homogeneous kernel Omega ( x ) [mid] x [mid] n are studied, where Omega is homogeneous of degree zero, and has mean value zero on the unit sphere. It is proved that Omega L(logL) super( )k1S super( )n1 is a sufficient condition such that the k-th o...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 20; no. 5; pp. 785 - 792
Main Authors Hu, Guo En, Ma, Bo Lin
Format Journal Article
LanguageEnglish
Published 01.09.2004
Subjects
Commutators
Integrals
Kernels
Operators
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Summary:The commutators of singular integral operators with homogeneous kernel Omega ( x ) [mid] x [mid] n are studied, where Omega is homogeneous of degree zero, and has mean value zero on the unit sphere. It is proved that Omega L(logL) super( )k1S super( )n1 is a sufficient condition such that the k-th order commutator is bounded on L super(2)( super( )n.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-004-0335-1