GENERALIZED ROPER-SUFFRIDGE OPERATOR FORϵSTARLIKE AND BOUNDARY STARLIKE MAPPINGS  

作　　者：Jie WANG Jianfei WANG 王洁;王建飞(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China

出　　处：《Acta Mathematica Scientia》2020年第6期1753-1764,共12页数学物理学报（B辑英文版）

基　　金：the NNSF of China(11671362,11971165);Beijing Municipal Natural Science Foundation(1182008);the Scientific Research Funds of Huaqiao University.

摘　　要：This article is devoted to a deep study of the Roper-Suffridge extension operator with special geometric properties.First,we prove that the Roper-Suffridge extension operator preservesϵstarlikeness on the open unit ball of a complex Banach space C×X,where X is a complex Banach space.This result includes many known results.Secondly,by introducing a new class of almost boundary starlike mappings of orderαon the unit ball B n of C n,we prove that the Roper-Suffridge extension operator preserves almost boundary starlikeness of orderαon B n.Finally,we propose some problems.

关 键 词：Biholomorphic mapping ϵstarlikeness boundary starlikeness 

分 类 号：O177[理学—数学]