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WEIGHTED ESTIMATES WITH GENERAL WEIGHTS FOR MULTILINEAR CALDER N-ZYGMUND OPERATORS 被引量:1

WEIGHTED ESTIMATES WITH GENERAL WEIGHTS FOR MULTILINEAR CALDER N-ZYGMUND OPERATORS
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摘要 In this paper, some weighted estimates with general weights are established for the m-linear Calderon-Zygmund operator and the corresponding maximal operator. It is proved that, ifp1,…,pm ∈ [1, ∞] and p ∈ (0, ∞) with 1/p = ∑k=1^m 1/pk, then for any weight w, integer l with 1 〈 e 〈 m, In this paper, some weighted estimates with general weights are established for the m-linear Calderon-Zygmund operator and the corresponding maximal operator. It is proved that, ifp1,…,pm ∈ [1, ∞] and p ∈ (0, ∞) with 1/p = ∑k=1^m 1/pk, then for any weight w, integer l with 1 〈 e 〈 m,
作者 胡国恩
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1529-1544,共16页 数学物理学报(B辑英文版)
基金 supported by the NSFC (10971228)
关键词 multilinear CalderomZygmund operator maximal operator weighted norminequality Calderon-Zygmund decomposition multilinear CalderomZygmund operator maximal operator weighted norminequality Calderon-Zygmund decomposition
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  • 1周伟军,马柏林,徐景实.THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES AND HERZ-TYPE SPACES[J].Acta Mathematica Scientia,2007,27(2):361-372. 被引量:3
  • 2A.K. Lerner.Weighted Norm Inequalities for the Local Sharp Maximal Function[J]. Journal of Fourier Analysis and Applications . 2004 (5)
  • 3Loukas Grafakos,Nigel Kalton.Some remarks on multilinear maps and interpolation[J]. Mathematische Annalen . 2001 (1)
  • 4Carlos 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)
  • 5Carrozza,M,Passarelli Di Napoli,A.Composition of maximal operators. Publ.Mat . 1996
  • 6R. Coifman,Y. Meyer.On commutators of singular integrals and bilinear singular integrals. Transactions of the American Mathematical Society . 1975
  • 7COIFMAN R R,MEYER Y.Nonlinear Harmonic Analysis, Operator Theory and P.D.E. Beijing Lectures in Harmonic Analysis . 1986/1984
  • 8CRUZ-URIBE D,PREZ C.Sharp two-weight, weak-type norm inequalities for singular integral operators. Mathematical Research Letters . 1999
  • 9Cruz-Uribe,D.,Pérez,C.Two weight extrapolation via the maximal operator. Journal of Functional Analysis . 2000
  • 10Grafakos,L.,Kalton,N.Multilinear Calderón-Zygmund Operators on Hardy Spaces. Colloquium Mathematicum . 2001

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