Β^2上α次殆星映射的一类有界构造  

Bounded Construction of Almost Starlike Mappings of OrderαinΒ^2

作　　者：王洁 林珍连[1] 王建飞 WANG Jie;LIN Zhenlian;WANG Jianfei(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2020年第1期126-129,共4页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(11671362);华侨大学科研启动费资助项目(605-50X19023);华侨大学研究生科研创新能力培育计划资助项目(17013070008)。

摘　　要：利用凸映射的构造方法,给出单位球Β^2上的α次殆星映射的有界构造,推广单位球Β^2上星形映射的结果.作为应用,建立α次殆星映射与Loewner链的关系,从Loewner链角度刻画Β^2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.We give some bounded construction of almost starlike mappings of orderαin the unit ballΒ^2 by using the construction of convex mappings,which generalize the result of starlike mappings on the unit ballΒ^2.As an application,we establish the connection between the almost starlike mappings of orderαand the Loewner chain.The properties of almost starlike mappings of orderαonΒ^2 are described from the Loewner chain and two equivalent propositions that f is almost starlike mappings of orderαare given.

关 键 词：双全纯映射 α次殆星映射 星形映射 Loewner链 

分 类 号：O147.56[理学—数学]