The Boundedness for Commutators of Multipliers

Original Papers
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Abstract

Let [b, T] be the commutator generated by a Lipschitz function b ∈ Lip(β)(0 < β < 1) and multiplier T. The authors studied the boundedness of [b, T] on the Lebesgue spaces and Hardy spaces.

Keywords

Commutator multiplier Lipschitz space hardy space 

2000 MR Subject Classification

42B20 42B25 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceHebei Normal UniversityShijiazhuang 050016China
  2. 2.School of Mathematical SciencesBeijing Normal UniversityBeijing 100875China
  3. 3.School of SciencesBeijing University of Post and TelecommunicationsBeijing 100875China
  4. 4.School of Mathematical SciencesBeijing Normal UniversityBeijing 100875China

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