The Hadamard Theorem and Borel–Carathéodory Theorem on Riemann Surfaces |
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| Authors: | Hui Ping Zhang |
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| Affiliation: | (1) School of Information, Renmin University of China, Beijing 100080, P. R. China |
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| Abstract: | In this paper, we first define a kind of pseudo–distance function and annulus domain on Riemann surfaces, then prove the Hadamard
Theorem and the Borel–Carathéodory Theorem on any Riemann surfaces.
Supported by NSFC 10501052 |
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| Keywords: | (Sub)harmonic functions Pseudo– distance function Annulus domain Analytic function |
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