L^p Estimates for Hyperbolic Singular Integral Operators  

作　　者：韩彦昌 宋亮 

机构地区：[1]Department of Mathematics,South China Normal University [2]Department of Mathematics,Zhongshan University

出　　处：《Northeastern Mathematical Journal》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

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.

关 键 词：hyperbolic singular integral operator Calderon-Zygmund operator hyperbolic space Schur＇s lemma 

分 类 号：O177.6[理学—数学]