Cross-ratio distortion and Douady-Earle extension. II: Quasiconformality and asymptotic conformality are local
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Publication:351336
DOI10.1007/S11854-012-0021-7zbMath1293.30045OpenAlexW2045192576MaRDI QIDQ351336
Publication date: 11 July 2013
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11854-012-0021-7
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Quasiconformal mappings in the complex plane (30C62)
Related Items (6)
Conformally natural extensions of continuous circle maps. II: The general case ⋮ Characterizations of circle homeomorphisms of different regularities in the universal Teichmüller space ⋮ Cross-ratio distortion and Douady–Earle extension: III. How to control the dilatation near the origin ⋮ Teichmüller spaces of piecewise symmetric homeomorphisms on the unit circle ⋮ Asymptotically conformal classes and non-Strebel points ⋮ Generalized conformal barycentric extensions of circle maps
Cites Work
- Conformal barycenters and the Douady-Earle extension -- a discrete dynamical approach.
- The boundary correspondence under quasiconformal mappings
- Conformally natural extension of homeomorphisms of the circle
- Kobayashi's and Teichmüller's metrics on the Teichmüller space of symmetric circle homeomorphisms
- Cross-ratio distortion and Douady-Earle extension: I. A new upper bound on quasiconformality
- The dilatation of Beurling-Ahlfors extensions of quasisymmetric functions
- Symmetric Structures on a Closed Curve
- Norms on earthquake measures and Zygmund functions
- Quasisymmetric groups
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