Linear invariance of locally biholomorphic mappings in the unit ball of a JB*-triple

被引：11

作者：

Hamada, H. ^{[1
]}

Honda, T. ^{[2
]}

Kohr, G. ^{[3
]}

机构：

[1] Kyushu Sangyo Univ, Fac Engn, Higashi Ku, Fukuoka 8138503, Japan

[2] Hiroshima Inst Technol, Hiroshima 7315193, Japan

[3] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 385卷 / 01期

基金：

日本学术振兴会;

关键词：

JB*-triple; Linear invariant family; Norm-order; FAMILIEN ANALYTISCHER FUNKTIONEN; BOUNDED SYMMETRIC DOMAINS; HOLOMORPHIC MAPPINGS; BANACH-SPACES; PARAMETRIC REPRESENTATION; UNIVALENT MAPPINGS; COEFFICIENT BOUNDS; COMPLEX-VARIABLES; HOMOGENEOUS BALLS; GROWTH THEOREMS;

D O I：

10.1016/j.jmaa.2011.06.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the notion of linear invariance on the unit ball of a JB*-triple X, and we obtain some connection between the norm-order of a linear invariant family and the starlikeness of order 1/2. Also, we give some result concerning the radius of univalence of some linear invariant families. Finally, if the dimension of X is finite and if the norm-order of a linear invariant family is finite, then we prove the normality of the linear invariant family and we also obtain upper bounds on the distortion and the growth of mappings in a linear invariant family with specified norm-order. In particular, our results are valid for the classical Cartan domains and the unit polydisc. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：326 / 339

页数：14

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