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  • Research Article
  • Open Access

Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball

Journal of Inequalities and Applications20062006:61018

  • Received: 11 October 2005
  • Accepted: 12 February 2006
  • Published:


For , let and denote, respectively, the -Bloch and holomorphic -Lipschitz spaces of the open unit ball in . It is known that and are equal as sets when . We prove that these spaces are additionally norm-equivalent, thus extending known results for and the polydisk. As an application, we generalize work by Madigan on the disk by investigating boundedness of the composition operator from to .


  • Unit Ball
  • Open Unit
  • Composition Operator
  • Lipschitz Space
  • Open Unit Ball


Authors’ Affiliations

Department of Mathematics, University of California, Riverside, CA 92521, USA
Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd, 11000, Serbia


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© D. D. Clahane and S. Stević 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.