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几类具有粗糙核的算子在加权Morrey空间上的有界性
引用本文:王华.几类具有粗糙核的算子在加权Morrey空间上的有界性[J].数学学报,2012(4):589-600.
作者姓名:王华
作者单位:浙江大学数学系
摘    要:设Ω∈L~q(S~(n-1))且1
关 键 词:齐次奇异积分  Marcinkiewicz积分  粗糙核  加权Morrey空间

The Boundedness of some Operators with Rough Kernel on the Weighted Morrey Spaces
Hua WANG.The Boundedness of some Operators with Rough Kernel on the Weighted Morrey Spaces[J].Acta Mathematica Sinica,2012(4):589-600.
Authors:Hua WANG
Institution:Hua WANG Department of Mathematics,Zhejiang University,Hangzhou 310027,P.R.China
Abstract:LetΩ∈Lq(Sn-1) with 1n-1.In this paper,we will study the boundedness of homogeneous singular integrals and Marcinkiewicz integrals with rough kernel on the weighted Morrey spaces Lp,k(w) for q′≤p<∞(or q′n) function b(x) and these rough operators are bounded on the weighted Morrey spaces Lp,k(w) for q’
Keywords:homogeneous singular integrals  Marcinkiewicz integrals  rough kernel  weighted Morrey spaces
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