Generalized conformal barycentric extensions of circle maps

DOI10.4171/203-1/8zbMath1446.30064OpenAlexW2999550265MaRDI QIDQ784798

D. Kharzeev

Publication date: 3 August 2020

Full work available at URL: https://doi.org/10.4171/203-1/8

zbMATH Keywords

Teichmüller spaceextensions of circle homeomorphisms

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (1)

Characterizations of circle homeomorphisms of different regularities in the universal Teichmüller space

Cites Work

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• Cross-ratio distortion and Douady-Earle extension. II: Quasiconformality and asymptotic conformality are local
• Circle homeomorphisms and shears
• Conformal barycenters and the Douady-Earle extension -- a discrete dynamical approach.
• The boundary correspondence under quasiconformal mappings
• Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises
• Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces
• BMO-Teichmüller spaces
• Conformally natural extension of homeomorphisms of the circle
• Universal Teichmüller space and BMO
• Topological characterization of an asymptotic Teichmüller space through measured geodesic laminations
• Conformally natural extensions of continuous circle maps. II: The general case
• Characterization of the asymptotic Teichmüller space of the open unit disk through shears
• Harmonic maps and the Schoen conjecture
• Cross-ratio distortion and Douady-Earle extension: I. A new upper bound on quasiconformality
• The dilatation of Beurling-Ahlfors extensions of quasisymmetric functions
• Conformally Natural Extension of Vector Fields From S n-1 to B n
• Angular derivatives of the barycentric extension
• Extensions with bounded ∂-derivative
• Holomorphic Motions and Teichmuller Spaces
• Cross-ratio distortion and Douady–Earle extension: III. How to control the dilatation near the origin
• The Douady-Earle extensions are not always harmonic
• Continuity of the barycentric extension of circle diffeomorphisms with Hölder continuous derivative
• Norms on earthquake measures and Zygmund functions
• Uniform weak* topology and earthquakes in the hyperbolic plane
• Quasisymmetric groups
• Real and complex earthquakes
• Holomorphic contractibility and other properties of the Weil-Petersson and VMOA Teichmüller spaces

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