Zalcman's renormalization lemma, Pinchuk's rescaling method, and Catlin's estimates revisited

DOI10.1007/S12215-024-01185-2MaRDI QIDQ6671842

François Berteloot

Publication date: 27 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

Kobayashi metricBloch principlenon compact automorphism groups

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Cites Work

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• Domains in \({\mathbb{C}}^{n+1}\) with noncompact automorphism group
• A characterization of domains in \(\mathbf C^{2}\) with noncompact automorphism group
• Estimates of invariant metrics on pseudoconvex domains of dimension two
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• La conception actuelle de la théorie des fonctions entières et méromorphes.
• Construction of p.s.h. functions on weakly pseudoconvex domains
• Bloch's principle
• DOMAINS IN $ \mathbf{C}^2$ WITH NONCOMPACT HOLOMORPHIC AUTOMORPHISM GROUPS
• Normal Families of Quasimeromorphic Mappings
• A Heuristic Principle in Complex Function Theory
• CHARACTERIZATION OF MODELS IN C² BY THEIR AUTOMORPHISM GROUPS
• Metamathematical problems
• Characterization of Domains in ℂⁿ by their Noncompact Automorphism Groups
• Geometry of Holomorphic Mappings
• A new family of holomorphic homogeneous regular domains and some questions on the squeezing function

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