Rigidity and continuous extension for conformal maps of circle domains

DOI10.1090/tran/8923zbMath1527.30020arXiv2210.04740OpenAlexW4320915001MaRDI QIDQ6112898

Dimitrios Ntalampekos

Publication date: 10 July 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.04740

zbMATH Keywords

conformal mapsextension to boundaryKoebe conjecture

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) General theory of conformal mappings (30C35) Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

Conformal uniformization of planar packings by disk packings

Cites Work

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• Removability, rigidity of circle domains and Koebe's conjecture
• Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure
• Transboundary extremal length
• Rigidity theorems for circle domains
• Fixed points, Koebe uniformization and circle packings
• Remarks on the Koebe Kreisnormierungsproblem
• Lectures on \(n\)-dimensional quasiconformal mappings
• Homeomorphic approximations to monotone mappings
• Confromal invariants and function-theoretic null-sets
• Rigidity of Schottky sets
• On continuous extension of conformal homeomorphisms of infinitely connected circle domains

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