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On Harmonic Quasiconformal Quasi-Isometries


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 (, 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).

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