α阶强β -螺线形函数类亚历山大变换的对数导数范数上界估计

Upper bound estimation of logarithmic derivative norm of Alexandrian transformation of theα-order strongβ-helix function

为了对螺线形函数类亚历山大变换的对数导数范数上界进行估计,提出了在Schwarz引理基础上结合Schwarz-pick估计方法构建上界表达式,得到3个定理。研究成果是Schwarz导数和对数导数在Teichmüller空间理论中的推广。

In order to estimate the upper bound of the norm of logarithmic derivative of Alexandrian transformation ofα-order strongβ-spiral function class,the expression of upper bound based on the Schwarz lemma and the Schwarz-pick estimation method was proposed,and three theorems were obtained.The results were the generalization of Schwarz derivative and logarithmic derivative in Teichmüller space theory.