单位圆盘上若干精确的Schwarz不等式

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 unit 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.