L^P Estimates for Hyperbolic Singular Integral Operators

• 作 者: 韩彦昌 宋亮
• 机 构: DepartmentofMathematics,DepartmentofMathematics
• 出 处: 东北数学：英文版
• 发表日期: 2006年3期
• 关键词: 双曲单一积分算子 CALDERON-ZYGMUND算子 双曲线空间 Schur引理 hyperbolic singular integral operator
• 基金项目: Foundation item： The NNSF （10171111） of China and the Foundation of Zhongshan University Advanced Research Center.Acknowledgement The authors wish to express their deep thanks to Professor Deng Dongga

<正>In this paper, we prove Lp-boundedness of hyperbolic singular integral operators for kernels satisfying weakened regularity conditions, where 1<p<∞. This extends previous results of A.R. Nahmod.