[1]胡春英,王建飞.单位球Bn上改进的Roper-Suffridge算子[J].华侨大学学报(自然科学版),2020,41(6):829-834.[doi:10.11830/ISSN.1000-5013.202006022]
　HU Chunying,WANG Jianfei.Modified Roper-Suffridge Extension Operator on Unit Ball Bn[J].Journal of Huaqiao University(Natural Science),2020,41(6):829-834.[doi:10.11830/ISSN.1000-5013.202006022]
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单位球Bn上改进的Roper-Suffridge算子()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第41卷
期数:
2020年第6期
页码:
829-834
栏目:
出版日期:
2020-11-20

文章信息/Info

Title:
Modified Roper-Suffridge Extension Operator on Unit Ball Bn
文章编号:
1000-5013(2020)06-0829-06
作者:
胡春英;  王建飞
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
HU Chunying;  WANG Jianfei
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
双全纯映射;  Roper-Suffridge算子;  β型复数阶λ次殆星映射;  Bloch映射
Keywords:
biholomorphic mappings;  Roper-Suffridge extension operator;  almost spirallike mappings of type β with complex number order λ;  Bloch mapping
分类号:
O174.56
DOI:
10.11830/ISSN.1000-5013.202006022
文献标志码:
A
摘要:
研究单位球Bn上改进的Roper-Suffridge算子的几何与分析特性,证明当k(k≥2)次齐次多项式Pk满足条件‖Pk‖≤(cos β)/(|1-λ|(k+2))时,改进的Roper-Suffridge算子F(z)=(f(z1)+Pk(z0)f’(z1),［f’(z1)］1/kz0)T保持β型复数阶λ次殆星性.同时,证明该算子保持Bloch 性质.
Abstract:
Geometric and analytic properties of the modified Roper-Suffridge extension operator defined on the unit ball Bn are studied, and prove that the operator F(z)=(f(z1)+Pk(z0)f’(z1),［f’(z1)］1/kz0)T preserves the property of almost spirallikeness of type β with complex number order λ if ‖Pk‖≤(cos β)/(|1-λ|(k+2)), where Pk is a homogeneous polynomial of degree k(k≥2). The operator preserves the property of Bloch mapping.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2020-06-22
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(11671362, 11971182); 国家自然科学基金面上项目(12071161); 福建省自然科学基金资助项目(2019J01066, 2020J01073); 福建省自然科学基金青年创新项目(2020J05157); 华侨大学高层次人才科研启动
更新日期/Last Update: 2020-11-20