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ENDPOINT ESTIMATE FOR MAXIMAL COMMUTATORS WITH NON-DOUBLING MEASUES 被引量：3

ENDPOINT ESTIMATE FOR MAXIMAL COMMUTATORS WITH NON-DOUBLING MEASUES
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摘要 The authors establish the weak type endpoint estimate for the maximal commutators generated by Calderon-Zygmund singular integrals and Orlicz type functions with non-doubling measures. The authors establish the weak type endpoint estimate for the maximal commutators generated by Calderon-Zygmund singular integrals and Orlicz type functions with non-doubling measures.
作者 胡国恩 孟岩 杨大春
机构地区 Department of Applied Mathematics University of Information Engineering School of Mathematical Sciences Beijing Normal University
出处 《Acta Mathematica Scientia》 SCIE CSCD 2006年第2期271-280,共10页 数学物理学报（B辑英文版）
基金 The research is supported by NNSFC (10271015)the third (corresponding) author is also supported by RFDPC (20020027004)
关键词 Maximal commutator endpoint estimate Orlicz type space non-doubling measure Maximal commutator, endpoint estimate, Orlicz type space, non-doubling measure
分类号 O174.1 [理学—基础数学]
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参考文献8

  • 1García-Cuerva J,Martell J M.On the existence of principal values for the Cauchy integral on weighted Lebesue spaces of non-doubling measures.J Funct Anal,2001,7:469-487
  • 2Nazarov F,Treil S,Volberg A.Weak type estimates and Cotlar's inequalities for Calderón-Zygmund operators on non-homogeneous spaces.Internat Math Res Notices,1998,9:463-487
  • 3Tolsa X.BMO,H^1 and Calderón-Zygmund operators for non doubling measures.Math Ann,2001,319:89-149
  • 4Tolsa X.A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition.Publ Mat,2001,45:163-174
  • 5Hu G,Meng Y,Yang D C.Multilinear commutators of singular integrals with non doubling measures.Integral Equations Operator Theory,2005,51:235-255
  • 6Chen W,Miao C.Vector valued commutators on non-homogeneous spaces (submitted)
  • 7Michal Alphonse A.An end point estimate for maximal commutators.J Fourier Anal Appl,2000,6:449-456
  • 8Pérez C,Pradolini D.Sharp weighted endpoint estimates for commutators of singular integral.Michigan Math J,2001,49:23-37

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Acta Mathematica Scientia
2006年 第2期

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