关于一类单叶函数Schwarz导数的注记  

A Note on the Schwarz Derivative of a Class of Univalent Functions

作　　者：赵林 陆富强 

机构地区：[1]贵州师范大学数学科学学院,贵州 贵阳

出　　处：《理论数学》2023年第12期3365-3370,共6页Pure Mathematics

摘　　要：利用Hilbert空间上的一个有界算子和单叶函数的性质,讨论一类单叶函数的Schwarz导数,并引入一类Grunsky系数。得到有界算子的内积与一类单叶函数Schwarz导数的关系,以及其Schwarz导数在复Hilbert空间下的范数与Grunsky系数的关系。By using a bounded operator on a Hilbert space and the properties of univalent functions, the Schwarz derivative of a class of univalent functions is discussed and a class of Grunsky coefficients is introduced. The relation between the inner product of a bounded operator and the Schwarz de-rivative of a class of univalent functions is obtained, as well as the relation between the norm of its Schwarz derivative in complex Hilbert space and the Grunsky coefficients.

关 键 词：单叶函数 SCHWARZ导数 Grunsky算子 

分 类 号：O17[理学—数学]