L^p Estimates for Hyperbolic Singular Integral Operators

L^p Estimates for Hyperbolic Singular Integral Operators

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摘要 In this paper, we prove L^P-boundedness of hyperbolic singular integral operators for kernels satisfying weakened regularity conditions, where 1 〈 p 〈 ∞. This extends previous results of A.R. Nahmod. In this paper, we prove L^P-boundedness of hyperbolic singular integral operators for kernels satisfying weakened regularity conditions, where 1 〈 p 〈 ∞. This extends previous results of A.R. Nahmod.

作者韩彦昌宋亮

机构地区 Department of Mathematics Department of Mathematics

出处《Northeastern Mathematical Journal》 CSCD 2006年第3期275-284,共10页 东北数学（英文版）

基金 The NNSF (10171111) of Chinathe Foundation of Zhongshan University Advanced Research Center

关键词 hyperbolic singular integral operator Calderon-Zygmund operator hyperbolic space Schur＇s lemma hyperbolic singular integral operator, Calderon-Zygmund operator, hyperbolic space, Schur＇s lemma

分类号 O177.6 [理学—基础数学]

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Northeastern Mathematical Journal

2006年第3期

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L^p Estimates for Hyperbolic Singular Integral Operators

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