C^n中单位球间逆紧全纯映射的构造  

The structure of the proper holomorphic mapping between the unit balls in C^n

作　　者：程晓亮[1] 刘阳 迟明月 孙爱慧[1] CHENG Xiao-liang;LIU Yang;CHI Ming-yue;SUN Ai-hui(College of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2019年第1期66-71,共6页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11301215);吉林省教育厅"十三五"科学技术项目(JJKH20170369KJ;JJKH20180767KJ)

摘　　要：维数大于1时,等维单位球间逆紧全纯映射即为全纯自同构;不等维单位球间逆紧全纯映射的分类问题较为复杂.本文总结了如何从低维构造高维单位球间的逆紧全纯映射,同时在已有具体映射的基础上,给出新映射.When the dimension is greater than 1,the proper holomorphic mapping between equal dimensional unit balls is holomorphic automorphism. The classification problem of proper holomorphic mapping between unequal dimensional unit balls is complex in content. This paper summarized how to construct the proper holomorphic mapping between high dimensional unit balls from low dimensional. At the same time,based on the existing specific mapping,a new mapping was given.

关 键 词：逆紧映射 全纯映射 单位球 

分 类 号：O174[理学—数学]