Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions

被引：30

作者：

Kim, YC

Sugawa, T

机构：

[1] Yeungnam Univ, Dept Math Educ, Kyongsan 712749, South Korea

[2] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2006年 / 49卷

关键词：

pre-Schwarzian derivative; uniformly locally univalent; close-to-convex function;

D O I：

10.1017/S0013091504000306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.

引用

页码：131 / 143

页数：13

共 16 条

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[Anonymous], ANN U MARIAE CURIE A

[3]

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[4]

Duren P. L., 1970, PURE APPL MATH, V38