Open Access

On Harmonic Quasiconformal Quasi-Isometries

Journal of Inequalities and Applications20102010:178732

https://doi.org/10.1155/2010/178732

Received: 3 January 2010

Accepted: 29 March 2010

Published: 9 May 2010

Abstract

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.

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Authors’ Affiliations

(1)
Faculty of Mathematics, University of Belgrade
(2)
Department of Mathematics, University of Turku

Copyright

© 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.