关于C-{0,1}上Poincaré度量边界估计的一个简单方法 |
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作者姓名: | 邓富声 刘伟明 |
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作者单位: | 1. 中国科学院研究生院数学科学学院, 北京 100049;
2. 北京石油化工学院数理系, 北京 102617 |
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基金项目: | Supported by NSFC(11001148, 10826073, 10901161), President Fund of GUCAS, and BJJW(Z2011-008) |
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摘 要: | 给出 C-{0,1}上Poincaré度量边界估计的一个新方法.该方法简单、直接,不涉及Ahlfors关于超双曲度量的Schwarz引理,也不涉及调和分析和模函数的内容.
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关 键 词: | 覆盖映射 双曲区域 Poincaré 度量 Schwarz-Pick引理 边界估计 |
收稿时间: | 2011-12-28 |
修稿时间: | 2012-05-02 |
A simple method for the boundary estimate of Poincaré metric on C-{0,1}* |
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Authors: | DENG Fu-Sheng LIU Wei-Ming |
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Institution: | 1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China;
2. Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, China |
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Abstract: | We give a boundary estimate of Poincaré metric on C-{0, 1} using a simple direct method, which does not involve Ahlfors's Schwarz lemma about ultrahyperbolic metrics, harmonic analysis, or modular functions. |
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Keywords: | covering maps hyperbolic domains Poincaré metric Schwarz-Pick lemma boundary estimate |
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