ON BIHOLOMORPHIC MAPPINGS IN COMPLEX BANACH SPACES

被引：1

作者：

Xu, Qing-Hua ^{[1
]}

Liu, Tai-Shun ^{[2
]}

机构：

[1] JiangXi Normal Univ, Coll Math & Informat Sci, Nanchang 330027, Peoples R China

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

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2011年 / 41卷 / 06期

关键词：

Coefficient estimation; starlike mapping; starlike mapping of order alpha; almost starlike mapping of order alpha; strongly starlike mapping of order alpha; strongly starlike mapping; STARLIKE MAPPINGS; GROWTH; DOMAINS;

D O I：

10.1216/RMJ-2011-41-6-2069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a complex Banach space with norm parallel to center dot parallel to, B the unit ball in X. In this paper, we introduce a class of holomorphic mappings M(g) on B. Let f(x) be a normalized locally biholomorphic mapping on B such that (Df(x))(-1) f (x) is an element of M(g). We obtain the growth and covering theorems, as well as coefficient estimates for f (x). Especially, as corollaries, we unify and generalize many known results. Moreover, in view of proofs of corollaries, we can see the relations among the subclasses of starlike mappings.

引用

页码：2069 / 2086

页数：18