%0 Journal Article
%T 关于一类单叶函数Schwarz导数的注记<br>A Note on the Schwarz Derivative of a Class of Univalent Functions
%A 赵林
%A 陆富强
%J Pure Mathematics
%P 3365-3370
%@ 2160-7605
%D 2023
%I Hans Publishing
%R 10.12677/PM.2023.1312349
%X 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。<br />
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.
%K 单叶函数，Schwarz导数，Grunsky算子<br>Univalent Functions
%K Schwarz Derivative
%K Grunsky Operator
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=76744