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2001 Uniformly perfect sets and distortion of holomorphic functions
Jian-Hua Zheng
Nagoya Math. J. 164: 17-33 (2001).

Abstract

We investigate the uniform perfectness on a boundary point of a hyperbolic open set and distortion of a holomorphic function from the unit disk $\Delta$ into a hyperbolic domain with a uniformly perfect boundary point, especially of a universal covering map of such a domain from $\Delta$, and we obtain similar results to celebrated Koebe's Theorems on univalent functions.

Citation

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Jian-Hua Zheng. "Uniformly perfect sets and distortion of holomorphic functions." Nagoya Math. J. 164 17 - 33, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 1033.30018
MathSciNet: MR1869092

Subjects:
Primary: 30F45
Secondary: 30C80

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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Vol.164 • 2001
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