L super( )pbounds for singular integrals with rough kernels on product domains

This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L super( )pboundedness of such operators for certain fixed p (1 < p < infinity ), are given.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2012-01, Vol.28 (1), p.133-144
Main Authors: Ma, Li, Fan, Da Shan, Wu, Huo Xiong
Format: Article
Language:English
Subjects:
Integrals
Kernels
Operators
Online Access:Get full text
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Description
Summary:This paper is concerned with singular integral operators on product domains with rough kernels both along radial direction and on spherical surface. Some rather weaker size conditions, which imply the L super( )pboundedness of such operators for certain fixed p (1 < p < infinity ), are given.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-012-9368-z