[1]林雄,李锦成,王建飞.向量值全纯映射Schwarz引理的刚性[J].华侨大学学报(自然科学版),2023,44(6):777-780.[doi:10.11830/ISSN.1000-5013.202308007]
　LIN Xiong,LI Jincheng,WANG Jianfei.Rigidity of Schwarz Lemma for Vector-Valued Holomorphic Mappings[J].Journal of Huaqiao University(Natural Science),2023,44(6):777-780.[doi:10.11830/ISSN.1000-5013.202308007]
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向量值全纯映射Schwarz引理的刚性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第44卷
期数:
2023年第6期
页码:
777-780
栏目:
出版日期:
2023-11-20

文章信息/Info

Title:
Rigidity of Schwarz Lemma for Vector-Valued Holomorphic Mappings
文章编号:
1000-5013(2023)06-0777-04
作者:
林雄;  李锦成;  王建飞
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
LIN Xiong;  LI Jincheng;  WANG Jianfei
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
多复变;  全纯映射;  Schwarz引理;  刚性
Keywords:
several complex variables;  holomorphic mapping;  Schwarz lemma;  rigidity
分类号:
O174.5
DOI:
10.11830/ISSN.1000-5013.202308007
文献标志码:
A
摘要:
借助Schwarz引理,给出单位圆盘上全纯自映射的Schwarz引理刚性结果。作为应用,得到了单位圆盘到Cn中单位球上的向量值全纯映射的刚性,丰富了Schwarz引理的研究。
Abstract:
By using Schwarz lemma, rigidity result of Schwarz lemma for the holomorphic self-map of the unit disk is given. As an application, the rigidity of the vector valued holomorphic mapping from the unit disk to the unit ball of Cn is proved, which enriches the study of Schwarz lemma.

参考文献/References:

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相似文献/References:

[1]邵俊霞,胡春英,王建飞.双全纯映射的从属原理及其应用[J].华侨大学学报(自然科学版),2023,44(3):417.[doi:10.11830/ISSN.1000-5013.202205018]
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备注/Memo

备注/Memo:
收稿日期: 2023-08-07
通信作者: 李锦成(1974-),男,讲师,主要从事复分析的研究。E-mail:hquljc@hqu.edu.cn。
基金项目: 国家自然科学基金资助项目(12071161)
更新日期/Last Update: 2023-11-20