Approximation and Loewner theory of holomorphic covering mappings

DOI10.1007/S10231-019-00900-6zbMath1436.32040arXiv1810.01782OpenAlexW2970230272WikidataQ127331140 ScholiaQ127331140MaRDI QIDQ2309448

Matteo Fiacchi

Publication date: 1 April 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01782

zbMATH Keywords

Loewner chainsAndersen-Lempert theoremapproximation of holomorphic covering mappingsholomorphic covering mappings

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Covering theorems in conformal mapping theory (30C25)

Cites Work

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• An abstract approach to Loewner chains
• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• The embedding conjecture and the approximation conjecture in higher dimension
• Parametric Representation of Univalent Mappings in Several Complex Variables
• Embedding univalent functions in filtering Loewner chains in higher dimension
• Some sufficient conditions of starlikeness for mappings of C¹ class

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