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On Harmonic Quasiconformal Quasi-Isometries

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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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Correspondence to M Mateljević.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Mateljević, M., Vuorinen, M. On Harmonic Quasiconformal Quasi-Isometries. J Inequal Appl 2010, 178732 (2010) doi:10.1155/2010/178732

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  • Quasihyperbolic Metrics