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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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