Simultaneous models for commuting holomorphic self-maps of the ball

被引：1

作者：

Arosio, Leandro ^{[1
]}

Bracci, Filippo ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

来源：

ADVANCES IN MATHEMATICS | 2017年 / 321卷

关键词：

Holomorphic iteration; Commuting mappings; Simultaneous linearization; Canonical models; ANALYTIC-FUNCTIONS; COMPOSITION OPERATORS; FIXED-POINTS; UNIT BALL; HYPERBOLIC AUTOMORPHISMS; SCHRODER EQUATION; ITERATION; VARIABLES; BOUNDARY;

D O I：

10.1016/j.aim.2017.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a finite family of commuting holomorphic self-maps of the unit ball B-q subset of C-q admits a simultaneous holomorphic conjugacy to a family of commuting automorphisms of a possibly lower dimensional ball, and that such conjugacy satisfies a universal property. As an application we describe when a hyperbolic and a parabolic holomorphic self-map of B-q can commute. (c) 2017 Published by Elsevier Inc.

引用

页码：486 / 512

页数：27

共 50 条

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