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.
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.
出处
《数学年刊（A辑）》
CSCD
北大核心
2004年第1期105-112,共8页
Chinese Annals of Mathematics
基金
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
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
Bounded convex, Reinhardt domains, Complete quasi-convex mapping, Quasi-convex mapping, Convex mapping, Decomposition theorem
