[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):417-420.[doi:10.11830/ISSN.1000-5013.202205018]
　SHAO Junxia,HU Chunying,WANG Jianfei.Subordination Principle and Its Application of Biholomorphic Mappings[J].Journal of Huaqiao University(Natural Science),2023,44(3):417-420.[doi:10.11830/ISSN.1000-5013.202205018]
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双全纯映射的从属原理及其应用()
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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3期
页码:
417-420
栏目:
出版日期:
2023-05-12

文章信息/Info

Title:
Subordination Principle and Its Application of Biholomorphic Mappings
文章编号:
1000-5013(2023)03-0417-04
作者:
邵俊霞;  胡春英;  王建飞
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
SHAO Junxia;  HU Chunying;  WANG Jianfei
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
多复变;  双全纯映射;  螺形映射;  从属原理;  Roper-Suffridge算子
Keywords:
several complex variables;  biholomorphic mapping;  spirallike mapping;  subordination principle;  Roper-Suffridge operator
分类号:
O174.56
DOI:
10.11830/ISSN.1000-5013.202205018
文献标志码:
A
摘要:
采用双曲度量的方法,给出多复变双全纯映射的从属原理.建立复平面上单连通区域D上的Roper-Suffridge算子,Roper-Suffridge算子保持β型螺形映射.结果表明:当D=Δ为单位圆盘时,主要结果推广了先前已知的结果.
Abstract:
Using hyperbolic metric method, we give the subordination principle of biholomorphic mappings in several complex variables, and establish Roper-Suffridge operators on simply connected domains D on complex planes, Roper-Suffridge operators preserve spirallike mappings of type β. The results show that when D=Δ is the unit disk, the main results generalize the previously known results.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2022-05-01
通信作者: 胡春英(1979-),女,讲师,主要从事复分析的研究.E-mail:huchunying_79@sina.com.
基金项目: 国家自然科学基金资助项目(12071161, 11971165, 11971182); 福建省自然科学基金资助项目(2020J01073, 2019J01066); 福建省自然科学基金青年创新项目(2020J05157).
更新日期/Last Update: 2023-05-20