首页 | 本学科首页   官方微博 | 高级检索  
     

多圆柱上的完全准凸映射
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, 0(1)
作者姓名:刘太顺  张文俊
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
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
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.

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
LIU Taishun ZHANG Wenjun. ON COMPLETE QUASI-CONVEX MAPPINGS IN THE POLYDISC[J]. Chinese Annals of Mathematics, 2004, 0(1)
Authors:LIU Taishun ZHANG Wenjun
Affiliation:LIU Taishun ZHANG WenjunDepartment of Mathematics,University of Science and Technology of China,Hefei 230026,China.Department of Mathematics,Normal College of Shenzhen University,Shenzhen 518060,Guangdong,China.
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.
Keywords:Bounded convex   Reinhardt domains   Complete quasi-convex mapping   Quasi-convex mapping   Convex mapping   Decomposition theorem
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号