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  • Research Article
  • Open Access

On Harmonic Quasiconformal Quasi-Isometries

Journal of Inequalities and Applications20102010:178732

  • Received: 3 January 2010
  • Accepted: 29 March 2010
  • Published:


The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics.


  • Full Article
  • Publisher Note
  • Quasihyperbolic Metrics

Publisher note

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Authors’ Affiliations

Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia
Department of Mathematics, University of Turku, 20014, Finland


© M. Mateljević and M. Vuorinen. 2010

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.