单位圆盘上若干精确的Schwarz不等式（英文）  

Some Sharp Schwarz Inequalities of the Unit Disk in C

作　　者：吴科科 陈伟[1] 唐笑敏[1] 

机构地区：[1]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2017年第10期6-11,共6页Journal of Huzhou University

基　　金：supported by the NNSF of China(11571105);the Xinmiao Talent Project of Zhejiang Province(2016R427003)

摘　　要：建立了复平面中单位圆盘上全纯函数的一个新型Schwarz引理,并获得了单位圆盘上全纯函数的导函数在边界点处的若干Schwarz不等式.这些结果分别推广了经典的内部型Schwarz引理和边界型Schwarz引理.In this paper, we establish a new type of the classical Schwarz lemma for holomorphic functions on the u- nit disk in C , and we also obtain some Schwarz inequalities of the derivative of the holomorphic function at a boundary point of the unit disk. Those results extend the classical inner Schwarz lemma and boundary Schwarz lemma respectively.

关 键 词：全纯函数 SCHWARZ引理 单位圆盘 边界点 

分 类 号：O174.56[理学—数学]