以无穷远点为内点的区域的单叶性内径(英文)  

On the Inner Radius of Univalency of Plane Domains Containing the Point ∞

作　　者：张思汇[1] 陈纪修[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2011年第6期689-695,704,共8页Journal of Fudan University：Natural Science

基　　金：Project supported by National Natural Science Foundation of China(10871047);Creation Foundation forGraduate Students(EYH1411041)

摘　　要：研究了以无穷远点为内点的平面区域的Schwarz导数及pre-Schwarz导数单叶性内径问题,给出了一个pre-Schwarz导数单叶性内径下界公式的推广,还得到了一类正规圆弧三角形外部区域的Schwarz导数单叶性内径的精确值.The inner radius of univalency of plane domains which have ∞ as interior point by the Schwarzian derivative and the pre-Schwarzian derivative are studied. A formula for the lower bound of the inner radius by pre- Schwarzian derivative is generalized, and the inner radius for the exterior domains of a class of normal circular triangles by the Schwarzian derivative is also obtained.

关 键 词：万有TEICHMÜLLER空间 PRE-SCHWARZ导数 SCHWARZ导数 单叶性内径 

分 类 号：O174.5[理学—数学]