The Schwarzian derivative and conformally natural quasiconformal extensions from one to two to three dimensions

DOI10.1007/BF01444621zbMath0794.30016MaRDI QIDQ1190811

Brad G. Osgood, Martin Chuaqui Farrú

Publication date: 26 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164914

zbMATH Keywords

Schwarzian derivativequasiconformal extension

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (4)

Close-to-harmonic extensions on the plane ⋮ Weak Schwarzians, bounded hyperbolic distortion, and smooth quasisymmetric functions ⋮ A Unified Approach to Univalence Criteria in the Unit Disc ⋮ On the slice regular Schwarz derivative

Cites Work

• Unnamed Item
• A generalization of Nehari's univalence criterion
• The Schwarzian derivative and conformal mapping of Riemannian manifolds
• Conformally natural extension of homeomorphisms of the circle
• A Uniqueness Theorem for Beltrami Equations
• The hyperbolic Gauss map and quasiconformal reflections.
• The Schwarzian derivative and quasiconformal reflections on S^n
• Sharp Distortion Theorems Associated with the Schwarzian Derivative
• The Schwarzian derivative and schlicht functions

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