Acta Mathematicae Applicatae Sinica, English Series

, Volume 23, Issue 1, pp 113–122

The Boundedness for Commutators of Multipliers

Original Papers

DOI: 10.1007/s10255-006-0355-y

Cite this article as:
Li, W., Lu, S. & Mo, H. Acta Mathematicae Applicatae Sinica, English Series (2007) 23: 113. doi:10.1007/s10255-006-0355-y
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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

CommutatormultiplierLipschitz spacehardy space

2000 MR Subject Classification

42B2042B25

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