| Β2上α次殆星映射的一类有界构造 |
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| 引用本文： | 王洁,林珍连,王建飞.Β2上α次殆星映射的一类有界构造[J].华侨大学学报(自然科学版),2020,41(1):126-129. |
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| 作者姓名： | 王洁 林珍连 王建飞 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 基金项目： | 华侨大学科研启动基金;华侨大学研究生科研创新能力培育计划资助项目;国家自然科学基金 |
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| 摘 要： | 利用凸映射的构造方法,给出单位球Β2上的α次殆星映射的有界构造,推广单位球Β2上星形映射的结果.作为应用,建立α次殆星映射与Löewner链的关系,从Löewner链角度刻画Β2上α次殆星映射的性质,且给出f为α次殆星映射的两个等价命题.
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| 关 键 词： | 双全纯映射 α次殆星映射 星形映射 Löewner链 |
Bounded Construction of Almost Starlike Mappings of Order α in Β2 |
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| WANG Jie,LIN Zhenlian,WANG Jianfei.Bounded Construction of Almost Starlike Mappings of Order α in Β2[J].Journal of Huaqiao University(Natural Science),2020,41(1):126-129. |
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| Authors: | WANG Jie LIN Zhenlian WANG Jianfei |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | We give some bounded construction of almost starlike mappings of order α in the unit ball Β2 by using the construction of convex mappings, which generalize the result of starlike mappings on the unit ball Β2. As an application, we establish the connection between the almost starlike mappings of order α and the Löewner chain. The properties of almost starlike mappings of order α on Β2 are described from the Löewner chain and two equivalent propositions that f is almost starlike mappings of order α are given. |
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| Keywords: | biholomorphic mappings almost starlike mappings of order α starlike mappings Löewner chain |
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