Title of article
A Schwarz–Pick inequality for harmonic quasiconformal mappings and its applications
Author/Authors
Chen، نويسنده , , Xingdi and Fang، نويسنده , , Ainong، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
7
From page
22
To page
28
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.
Keywords
Harmonic mappings , quasiconformal mappings , Harmonic quasiconformal mapping , Schwarz–Pick inequality
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561100
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