| 多圆柱上的完全准凸映射 |
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| 引用本文： | 刘太顺,张文俊.多圆柱上的完全准凸映射[J].数学年刊A辑(中文版),2004(1). |
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| 作者姓名： | 刘太顺 张文俊 |
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| 作者单位： | 中国科技大学数学系,深圳大学师范学院数学教育系 合肥 230026,广东深圳 518060 |
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| 基金项目： | 国家重点基础研究发展规划,国家自然科学基金(No.19871081),广东省自然科学基金 |
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| 摘 要： | 在C~n中有界凸Reinhardt域上讨论了一类介于凸映射类与星形映射类之间的“完全准凸映射类”.特别地,在C~n中的多圆柱上给出了完全准凸映射的分解定理,得到了多圆柱上判别凸映射的一个改进的充分条件.
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| 关 键 词： | 有界凸Reinhardt域 完全准凸映射 准凸映射 凸映射 分解定理 |
ON COMPLETE QUASI-CONVEX MAPPINGS IN THE POLYDISC |
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| LIU Taishun ZHANG Wenjun.ON COMPLETE QUASI-CONVEX MAPPINGS IN THE POLYDISC[J].Chinese Annals of Mathematics,2004(1). |
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| Authors: | LIU Taishun ZHANG Wenjun |
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| Institution: | LIU Taishun ZHANG Wenjun
Department of Mathematics,University of Science and Technology of China,Hefei 230026,China.
Department of Mathematics,Normal College of Shenzhen University,Shenzhen 518060,Guangdong,China. |
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| Abstract: | In this paper, a class of biholomorphic mappings named "complete quasi-convex mapping" is introduced in bounded convex Reinhardt Domains of Cn. It is shown that this class of mappings is a proper subset of the class of starlike mappings and contains the class of convex mappings properly. In the special case of the polydisc, the authors get a Decomposition Theorem of such mappings from which an improved sufficient condition for convex mappings is derived in the polydisc. |
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| Keywords: | Bounded convex Reinhardt domains Complete quasi-convex mapping Quasi-convex mapping Convex mapping Decomposition theorem |
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