CANONICAL MODELS FOR HOLOMORPHIC ITERATION

被引：25

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：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 05期

关键词：

Iteration theory; linear fractional models; dynamics in several complex variables; LINEAR FRACTIONAL MAPS; COMPOSITION OPERATORS; UNIT BALL; ANGULAR DERIVATIVES; LINDELOF PRINCIPLE; ANALYTIC-FUNCTIONS; SCHRODER EQUATION; COMPLEX-VARIABLES; FIXED-POINTS; SELF-MAPS;

D O I：

10.1090/tran/6593

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct canonical intertwining semi-models with Kobayashi hyperbolic base space for holomorphic self-maps of complex manifolds which are univalent on some absorbing cocompact hyperbolic domain. In particular, in the unit ball we solve the Valiron equation for hyperbolic univalent self-maps and for hyperbolic semigroups.

引用

页码：3305 / 3339

页数：35

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