A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications |
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| Authors: | Xingdi Chen Ainong Fang |
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| Affiliation: | a Department of Mathematics, Huaqiao University, Quanzhou, Fujian 362021, PR China
b Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, PR China |
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| 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 Mateljevi?. 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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| Keywords: | Harmonic mappings Quasiconformal mappings Harmonic quasiconformal mapping Schwarz-Pick inequality |
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