ROUGH MULTIPLE SINGULAR INTEGRALS ALONG HYPERSURFACES

• 作 者: 邓浏睿 李中凯 马柏林 伍火熊
• 机 构: CollegeofMathematicsandEconometrics,SchoolofMathematicalSciences,CollegeofScienceandInformationEngin
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2011年5期
• 关键词: 奇异积分算子 MARCINKIEWICZ积分 超曲面 粗糙 log 运营商 积分核 SM multiple singular integral Marcinki
• 基金项目: Supported by the NSFC （10771054, 10971141, 11071200）, the NFS of Beijing （1092004）, the NFS of Fujian Province （2010J01013）

In this paper, the authors study the mapping properties of singular integrals on product domains with kernels in L(log+L)ε(Sm-1 × Sn-1) (ε = 1 or 2) supported by hyper-surfaces. The Lp bounds for such singular integral operators as well as the relate