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arxiv: 0709.4546 · v2 · submitted 2007-09-28 · 🧮 math.CV · math.CA

On harmonic quasiconformal quasi-isometries

classification 🧮 math.CV math.CA
keywords harmonicmapsmetricsquasiconformalquasihyperbolicconditionsexploreguarantee
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The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps w.r.t. quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz w.r.t. quasihyperbolic metrics.

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