B^(2)到B^(10)的某类7次逆紧全纯映射  

Proper holomorphic monomial mappings of degree 7 from B^(2) to B^(10)

作　　者：程晓亮[1] 郭长聪 CHENG Xiao-liang;GUO Chang-cong(College of Mathematics and Computer,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2024年第2期45-49,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(12026420);吉林省科技发展计划项目(YDZJ202201ZYTS627);吉林省教育厅科学技术研究项目(JJKH20200405KJ)。

摘　　要：根据张量积以及B^(2)到B^(4)的逆紧全纯映射分类的相关知识点,构造了B^(2)到B^(10)的7次逆紧全纯映射,写出其显式表达式,并对某些构造的映射进行证明,强化了逆紧全纯映射的相关理论知识,对逆紧全纯映射进行了更加细致的分类,进一步解决了单位球间逆紧全纯映射的分类问题.The 7th degree proper holomorphic mapping from B^(2) to B^(10) were constructed according to the knowledge of tensor product and the classification of the proper holomorphic mapping of B^(2) to B^(4).Its explicit expressions were writed out,and the relevant knowledge was used to verify whether the constructed monomial mapping was a proper holomorphic mapping,which intensified the relevant theoretical knowledge of proper holomorphic mapping.A more detailed classification of the proper holomorphic maps was performed,and further solving the classification problem of proper holomorphic mapping between unit balls.

关 键 词：逆紧全纯映射 张量积 多复变函数 

分 类 号：O174[理学—数学]