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奇异积分算子的加权Triebel-Lizorkin有界性
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作者 刘显明 阮建苗 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2006年第5期481-484,506,共5页
利用Littlewood—Paley分解及变测度插值方法,研究了一类奇异积分算子TΩ,b的性质,得到了当1〈p,s〈∞,α∈R,q〉1,h∈L^∞(R^+),Ω∈Bq^0.0[S^(n-1)],和w∈Ap(R^-)时,TΩ,b为Fp^a,s(w)有界.
关键词 奇异积分 Triebel—Lizorkin空间 加权奇异积分算子
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Weighted estimates for the multilinear singular integral operators with non-smooth kernels 被引量:7
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作者 HU GuoEn1 & LU ShanZhen2 1Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China 2Department of Mathematics, Beijing Normal University, Beijing 100875, China 《Science China Mathematics》 SCIE 2011年第3期587-602,共16页
In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smoot... In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels. 展开更多
关键词 approximation to the identity weighted norm inequality singular integral operator non-smooth kernel Calderón-Zygmund decomposition
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