Norm estimates for the Alexander transforms of convex functions of order alpha

被引：15

作者：

Choi, JH

Kim, YC

Ponnusamy, S ^{[1
]}

Sugawa, T

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

[2] Daegu Natl Univ Educ, Dept Math Educ, Namgu 705715, Daegu, South Korea

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 303卷 / 02期

基金：

芬兰科学院;

关键词：

Alexander transform; univalent function; convex of order alpha; hypergeometric function;

D O I：

10.1016/j.jmaa.2004.08.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The hyperbolic sup norm of the pre-Schwarzian derivative of a locally univalent function on the unit disk measures the deviation of the function from similarities. We present sharp norm estimates for the Alexander transforms of convex functions of order alpha, 0 less than or equal to alpha < 1. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：661 / 668

页数：8

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Chiang Y. M., 1991, Ph.D. thesis

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Duren P. L., 1983, Univalent functions

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