| 两类拟共形映射的掩盖定理 |
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| 引用本文： | 廖茂新,高纯一,王智刚. 两类拟共形映射的掩盖定理[J]. 数学季刊, 2006, 21(4): 629-632 |
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| 作者姓名： | 廖茂新 高纯一 王智刚 |
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| 作者单位： | School of Mathematics and Physics Nanhua University，Institute of Mathematics and Computing Science，Changsha University of Science and Technology，Institute of Mathematics and Computing Science，Changsha University of Science and Technology，Hengyang 421001，China，Changsha 410076，China，Changsha 410076，China |
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| 基金项目： | Supported by the Scientific Research Fund of Hunan Provincial Education Department(04B056)，Supported by the Nanhua University Key Items(06Z02) |
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| 摘 要： | In this paper we define two classes of quasiconformal mappings,and study their covering properties by methods of module.We obtain some new results.In the meantime,we give new methods to prove Koebe 1/2 covering theorem on convex conformal mappings.
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| 关 键 词： | 遮盖理论 准共形映射 覆盖特性 共形变换 |
Covering Theorems on Two Classes of Quasi-conformal Mappings |
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| LIAO Mao-xin,GAO Chun-yi,WANG Zhi-gang. Covering Theorems on Two Classes of Quasi-conformal Mappings[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 629-632 |
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| Authors: | LIAO Mao-xin GAO Chun-yi WANG Zhi-gang |
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| Affiliation: | [1]School of Mathematics and Physics, Nanhua University, Hengyang 421001, China [2]Institute of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076,,China |
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| Abstract: | In this paper we define two classes of quasiconformal mappings,and study their covering properties by methods of module.We obtain some new results.In the meantime,we give new methods to prove Koebe 1/2 covering theorem on convex conformal mappings. |
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| Keywords: | doubly connected domains convex quasiconformal mappings covering theorem |
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