On the inner radius of univalency by pre-Schwarzian derivative  

作　　者：Tao CHENG~(1,2+) Ji-xiu CHEN~1 1 School of Mathematical Sciences,Fudan University,Shanghai 200433,China 2 Department of Mathematics,Jiangxi Normal University,Nanchang 330022,China 

出　　处：《Science China Mathematics》2007年第7期987-996,共10页中国科学：数学（英文版）

基　　金：This work was partially supported by the National Natural Science Foundation of China(Grant No.10571028).

摘　　要：In this paper,the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied,and some general formulas for the lower bound of the inner radius are established. As their applications,the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.In this paper, the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied, and some general formulas for the lower bound of the inner radius are established. As their applications, the lower bounds of inner radiuses for angular domains and strongly starlike domains are obtained.

关 键 词：pre-Schwarzian derivative inner radius of univalency universal Teichmuller space 30C62 30F60 

分 类 号：O174.5[理学—数学]