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齐型空间上奇异积分交换子的一个加权端点估计 被引量:2

Weighted Endpoint Estimates for Commutators of Singular Integrals on Spaces of Homogeneous Type
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摘要 文章研究Coifman-Weiss意义下齐型空间上奇异积分算子与BMO函数的交换子,利用Aimar的分解定理,建立了交换子的弱端点估计,推广和改进了此前的有关结论。 A weighted weak type endpoint estimate with Ap weights is established for the commutators of singular integral operators in the space of homogeneous type.
作者 倪大平
出处 《信息工程大学学报》 2006年第3期214-218,共5页 Journal of Information Engineering University
关键词 奇异积分算子 交换子 齐型空间 singular integral operator commutator space of homogeneous type
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参考文献9

  • 1Coifman R,Rochberg R,Weiss G.Factorization theorems for Hardy spaces in several variables[J].Ann.of Math.,1976,103:611-635.
  • 2Pérez C,Pradolini C.Sharp weighted endpoint estimate for commutator of singular integrals[J].Machigan Math.J.,2001,49:23-37.
  • 3Coifman R,Weiss G.Analyse harmonique non-commutative sur certains espaces homogènes[M].Berlin:Lecture Notes in Math.,1971.
  • 4Macias R,Segovia C.Lipschitz functions on spaces of homogeneous type[J].Adv.in Math.,1979,33:257-270.
  • 5Pradolini G,Salinas O.Commutators of singular integral integrals on spaces of homogeneous type[EB/OL].[2006-01-01]http://math.unl.edu.ar/preprints/.
  • 6Chen W,Sawyer E.Endpoint estimates for commutators of singular integrals on spaces of homogeneous type[J].J.Math.Anal.Appl.,2003,282:553-566.
  • 7Rao M,Ren Z.Theory of orlicz spaces[M].New York.Marcel Dekker:Inc.1991.
  • 8Aimar H.Singular integrals and approximate identities on spaces of homogeneous type[J].Trans.of Amer.Math.Soc.,1985,292(1):135-153.
  • 9Pérez C,Wheeden R.Uncertainty principle estimates for vector fields[J].J.Funct.Anal.,2001,181:146-188.

同被引文献9

  • 1李文明,李海萍.齐型空间上的双线性Calderon-Zygmund奇异积分算子[J].数学物理学报(A辑),2006,26(3):375-381. 被引量:2
  • 2Coifman R, Rochrerg R, Weiss G. Factorization theorems for Hardy spaces in several variables[J]. Ann. of math., 1976, 103 (2): 611-635.
  • 3Perez C, Pradolini C. Sharp weighted endpoint estimate for commutator of singular integrals[J]. Machigar Math. J., 2001, 49: 23-37.
  • 4Gladis Pradolini-Oscar S. Commutators of singular integrals on space of homogeneous type [J ]. Czechoslovak Mathematical Journal, 2007, 57: 75-93.
  • 5Lemer A K. Weighted norh inequalities for the local sharp maximal funtion[J], J. Fourier Anal, Appl., 2004, 10: 645-674.
  • 6Perez C. On sufficient condition for the boundedness of the Hardy-Littlewood maximal operator between weighted Lp-spaces with different weights[J]. Proc. London Math. Soc, 1995, 49: 135-157.
  • 7Carrozza M, Passarelli Di Napoli A. Composition of maximal oparators[J]. Publ. Mat., 1996, 40: 397-409.
  • 8Perez C. sharp estimates for commutators of singular integrals via itetations of the Hardy-Littlewood maximal fountion [J]. Proc. London Math. Soc., 1995, 40: 397-409.
  • 9Gladis Pradolini,Oscar Salinas. Commutators of singular integrals on spaces of homogeneous type[J] 2007,Czechoslovak Mathematical Journal(1):75~93

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