Sharp distortion theorems for a subclass of close-to-convex mappings

被引：1

作者：

Xu, Qinghua ^{[1
]}

Liu, Taishun ^{[2
]}

Liu, Xiaosong ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China

[2] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[3] Zhanjiang Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2013年 / 8卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Distortion theorem; growth theorem; strongly close-to-convex mappings of order alpha; LINEARLY INVARIANT FAMILIES; JB-ASTERISK-TRIPLE; BIHOLOMORPHIC-MAPPINGS; HOMOGENEOUS BALLS; UNIT BALL; DOMAINS; GROWTH; SPACES;

D O I：

10.1007/s11464-013-0325-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class of strongly close-to-convex mappings of order alpha in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a complex Hilbert space X or the unit polydisc in a", (n) . As an application, a sharp growth theorem for strongly close-to-convex mappings of order alpha is obtained.

引用

页码：1425 / 1436

页数：12

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