Distortion theorems for normalized biholomorphic quasi-convex mappings |
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| Authors: | Xiao Fei Zhang Tai Shun Liu Yong Hong Xie |
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| Institution: | 1. College of Mathematics and Information Science, Pingdingshan University, Pingdingshan 467000, P. R. China;
2. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, P. R. China;
3. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, P. R. China |
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| Abstract: | In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball B n respectively. |
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| Keywords: | Distortion theorem quasi-convex mappings Schwarz lemma at the boundary |
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