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))

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.