关于粗糙核属于F_β(S^(n-1))空间的抛物奇异积分和极大算子(英文)  

On the Parabolic Singular Integral and Maximal Operators With Rough Kernel Belonging to F_β(S^(n-1))

作　　者：陈冬香[1,2] 陆善镇[2] 

机构地区：[1]江西师范大学数信学院,江西南昌330022 [2]北京师范大学数学科学学院,北京100875

出　　处：《数学进展》2010年第5期629-639,共11页Advances in Mathematics（China）

基　　金：Support by Supported by NSFC(No.10961015,No.10871173);The NSF of Jiangxi province(No.2008GZS051)

摘　　要：本文考虑了粗糙核满足F_β(S^(n-1))条件的抛物奇异积分算子T~α,抛物极大算子sup_(K∈M({Ω_j}))|T_K|和M_Ω的性质,并得到它们的L^p有界性.从本质上改进了一些已知结果.The authors consider the parabolic singular integral operator T_k and the parabolic maximal singular integral operators sup_（K∈M（{Ω_j}））｜T_K｜ and M_Ωarising from rough kernels satisfying an F_β（S^（n-1））-type condition and obtain the L^p-boundedness.Our results essentially extend and improve some known results.

关 键 词：抛物奇异积分 抛物极大算子 粗糙核 FOURIER变换 

分 类 号：O174.2[理学—数学]