Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs

DOI10.1515/ADVGEOM.2010.016zbMath1200.32006arXivmath/0702581WikidataQ121267328 ScholiaQ121267328MaRDI QIDQ3580691

Chiara Frosini

Publication date: 13 August 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702581

zbMATH Keywords

holomorphic mapsboundary behavior

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (6)

Denjoy-Wolff theory for finite-dimensional bounded symmetric domains ⋮ A Wolff theorem for finite rank bounded symmetric domains ⋮ The Lindelöf principle in \(\mathbb C^{n }\) ⋮ Denjoy-Wolff points on the bidisk via models ⋮ Wolff-Denjoy theorems in nonsmooth convex domains ⋮ A Julia's Lemma for the symmetrized bidisc 𝔾₂

Cites Work

• Boundary behaviour and normal meromorphic functions
• The Lindelöf principle and the angular derivative in strongly convex domains
• The Lindelöf principle and normal functions of several complex variables
• The Julia-Wolff-Carathéodory theorem in polydisks
• Holomorphic retracts and intrinsic metrics in convex domains
• The pluricomplex Poisson kernel for strongly convex domains
• Asymptotic Behavior of Normal Mappings of Several Complex Variables
• Intrinsic distances, measures and geometric function theory

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