Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619039 | Journal of Mathematical Analysis and Applications | 2010 | 7 Pages |
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.
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