The Julia-Wolff-Carathéodory Theorem and Its Generalizations

DOI10.1007/978-4-431-55744-9_21zbMath1326.32010arXiv1501.03266OpenAlexW2496034362MaRDI QIDQ3448917

Jasmin Raissy

Publication date: 27 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03266

zbMATH Keywords

infinitesimal generatorsboundary behaviourJulia-Wolff-Carathéodory theoremsemigroups of holomorphic mappings

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems over complex numbers (37F99)

Cites Work

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• A Carathéodory theorem for the bidisk via Hilbert space methods
• Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
• The Lindelöf principle and the angular derivative in strongly convex domains
• A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball
• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• The angular derivative of an operator-valued analytic function
• The Julia-Wolff-Carathéodory theorem in polydisks
• The infinitesimal generators of semigroups of holomorphic maps
• Semigroups and generators on convex domains with the hyperbolic metric
• The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces
• Angular limits and derivatives for holomorphic maps of infinite dimensional bounded homogeneous domains
• Angular derivatives of holomorphic maps in infinite dimensions
• Angular derivatives on bounded symmetric domains
• The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of \(C^*\)-algebras
• Some inequalities for the horosphere function and hyperbolically nonexpansive mappings on the Hilbert ball
• Parabolic type semigroups: asymptotics and order of contact
• Quelques propriétés des applications analytiques d'une boule à \(m\) dimensions dans elle-même
• A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball
• La métrique de Kobayashi et la représentation des domaines sur la boule
• THE THEOREMS OF LINDELÖF AND FATOU IN Cⁿ
• The Lindelöf principle and angular derivatives in convex domains of finite type
• Boundary behavior of infinitesimal generators in the unit ball
• Harmonic Functions on Hermitian Hyperbolic Space
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• Invariant distances and metrics in complex analysis

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