Cross-ratio distortion and Douady–Earle extension: III. How to control the dilatation near the origin

DOI10.5186/aasfm.2019.4432zbMath1423.30017OpenAlexW2916330450WikidataQ128347700 ScholiaQ128347700MaRDI QIDQ4632072

Jun Hu, Oleg Muzician

Publication date: 25 April 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2019.4432

zbMATH Keywords

Douady-Earle extensionquasisymmetric homeomorphismcross-ratio distortionextremal quasiconformal extensionsimple earthquake map

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

Characterizations of circle homeomorphisms of different regularities in the universal Teichmüller space ⋮ Generalized conformal barycentric extensions of circle maps

Cites Work

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• Cross-ratio distortion and Douady-Earle extension. II: Quasiconformality and asymptotic conformality are local
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• Conformal barycenters and the Douady-Earle extension -- a discrete dynamical approach.
• Conformally natural extension of homeomorphisms of the circle
• Conformally natural extensions of continuous circle maps. II: The general case
• Characterization of the asymptotic Teichmüller space of the open unit disk through shears
• Cross-ratio distortion and Douady-Earle extension: I. A new upper bound on quasiconformality
• Quasisymmetric groups

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