BI-LIPSCHICITY OF QUASICONFORMAL HARMONIC MAPPINGS IN THE PLANE

By V. Manojlović. 2009

54 citations recorded by the source corpus.

We show that quasiconformal harmonic mappings on the proper domains in R 2 are bi-Lipschitz with respect to the quasihyperbolic metric.

Subfields: Applied Mathematics, Geometry and Topology, Surgery

View Paper: https://www.semanticscholar.org/paper/f28134ecaac08ab03b39df8e96cc01f08ba4f8e0

How researchers see this paper

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In Applied Mathematics

1. M. Mateljevi'c
2. M. Vuorinen

In Geometry and Topology

1. M. Mateljevi'c
2. M. Vuorinen

In Surgery

1. M. Mateljevi'c
2. M. Vuorinen

Citations in the corpus

• On Harmonic Quasiconformal Quasi-Isometries (2007, methodology): “Note that in [30] the proof makes use of the interesting fact that log 1 Jh is a subharmonic function; but we do not use it here.”