English

On harmonic quasiconformal quasi-isometries

Complex Variables 2010-04-12 v2 Classical Analysis and ODEs

Abstract

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.

Keywords

Cite

@article{arxiv.0709.4546,
  title  = {On harmonic quasiconformal quasi-isometries},
  author = {Miodrag Mateljević and Matti Vuorinen},
  journal= {arXiv preprint arXiv:0709.4546},
  year   = {2010}
}

Comments

19 pages