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Weighted estimates for the multilinear singular integral operators with non-smooth kernels 被引量：7

Weighted estimates for the multilinear singular integral operators with non-smooth kernels
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摘要 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. 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.
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
出处 《Science China Mathematics》 SCIE 2011年第3期587-602,共16页 中国科学：数学（英文版）
基金 supported by National Natural Science Foundation of China (Grant No. 10971228),supported by National Natural Science Foundation of China (Grant Nos. 10871024, 10931001)
关键词 approximation to the identity weighted norm inequality singular integral operator non-smooth kernel Calderón-Zygmund decomposition 多线性奇异积分算子 加权估计 非平稳 内核 加权模不等式 端点估计 函数估计 非光滑
分类号 O177 [理学—基础数学]
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  • 1A.K. Lerner.Weighted Norm Inequalities for the Local Sharp Maximal Function[J]. Journal of Fourier Analysis and Applications . 2004 (5)
  • 2Loukas Grafakos,Nigel Kalton.Some remarks on multilinear maps and interpolation[J]. Mathematische Annalen . 2001 (1)
  • 3Carlos Pérez.Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function[J]. The Journal of Fourier Analysis and Applications . 1997 (6)
  • 4Carrozza,M,Passarelli Di Napoli,A.Composition of maximal operators. Publ.Mat . 1996
  • 5R. Coifman,Y. Meyer.On commutators of singular integrals and bilinear singular integrals. Transactions of the American Mathematical Society . 1975
  • 6COIFMAN R R,MEYER Y.Nonlinear Harmonic Analysis, Operator Theory and P.D.E. Beijing Lectures in Harmonic Analysis . 1986/1984
  • 7CRUZ-URIBE D,PREZ C.Sharp two-weight, weak-type norm inequalities for singular integral operators. Mathematical Research Letters . 1999
  • 8Cruz-Uribe,D.,Pérez,C.Two weight extrapolation via the maximal operator. Journal of Functional Analysis . 2000
  • 9Grafakos,L.,Kalton,N.Multilinear Calderón-Zygmund Operators on Hardy Spaces. Colloquium Mathematicum . 2001
  • 10Grafakos,L.,Kalton,N.Some remarks on multilinear maps and interpolation. Mathematische Annalen . 2001

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Science China Mathematics
2011年 第3期

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