Article ID Journal Published Year Pages File Type
4619039 Journal of Mathematical Analysis and Applications 2010 7 Pages PDF
Abstract

The main result of this paper is the sharp generalized Schwarz–Pick inequality for euclidean harmonic quasiconformal mappings with convex ranges, which generalizes a result given by Mateljević. As its applications, we obtain the property of quasi-isometry with respect to the Poincaré distance and an analogue of the Koebe theorem for this class of mappings.

Related Topics
Physical Sciences and Engineering Mathematics Analysis