On Harmonic Quasiconformal Quasi-Isometries
1 Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia
2 Department of Mathematics, University of Turku, 20014, Finland
Journal of Inequalities and Applications 2010, 2010:178732 doi:10.1155/2010/178732Published: 9 May 2010
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.