Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性)

Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性)

用旋转法结合Fourier估计以及Littlewood-Paley理论给出了乘积空间上带粗糙核的极大奇异积分算子的Lp有界性.证明了对于Ω∈Lq(Sn-1×Sm-1),其中q>1,,且,则积域上极大奇异积分算子为Lp(Rn×Rm)有界,其中1<p<∞.从而改进了以往的结果.

Bibliographic Details
Main Author:	WANGMeng(王梦)
Format:	Article
Language:	zho
Published:	Zhejiang University Press 2003-07-01
Series:	Zhejiang Daxue xuebao. Lixue ban
Subjects:	乘积空间粗糙核极大算子
Online Access:	https://doi.org/zjup/1008-9497.2003.30.4.361-364

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