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SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERóN-ZYGMUND OPERATORS 被引量:2

SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERóN-ZYGMUND OPERATORS
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摘要 In this note, the authors prove that the commutator Tb, generated by θ-type Calderon-Zygmund operator T and a Lipschitz function b is bounded from LP(R^n) intoLip(β_n/p)(R^n) and also maps from Ln/β (R^n) into BMO(R^n). In this note, the authors prove that the commutator Tb, generated by θ-type Calderon-Zygmund operator T and a Lipschitz function b is bounded from LP(R^n) intoLip(β_n/p)(R^n) and also maps from Ln/β (R^n) into BMO(R^n).
出处 《Analysis in Theory and Applications》 2009年第2期175-181,共7页 分析理论与应用(英文刊)
基金 Supported by NSFC(10571014) NSFC(10571156) the Doctor Foundation of Jxnu (2443) the Natural Science Foundation of Jiangxi province(2008GZS0051)
关键词 Calderon-Zygmund operator COMMUTATOR BMO space Lipschitz function Calderon-Zygmund operator, commutator, BMO space, Lipschitz function
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参考文献5

  • 1Rulong Xie,Lisheng Shu.ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS[J].Analysis in Theory and Applications,2008,24(3):260-270. 被引量:6
  • 2Xie, R. L,Shu L. S.On Multilinear Commutators of θ-Type Calderón-Zygmund Operators[].Anal in Theory and Appl.2008
  • 3García-Cuerva, J,Eduardo Gatto, A.Boundedness Properties of Fractional Integral Operators associated to Nondoubling Measures[]..2002
  • 4Yabuta Y.Generalization of Calderón-Zygmund Operators[].Studia Mathematica.1985
  • 5Perez,C.,Trujillo-Gonzalez,R.Sharp weighted estimates for multilinear commutators[].Journal of the London Mathematical Society.2002

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