Holomorphic motions and quasicircles

DOI10.1090/S0002-9939-2013-11684-9zbMath1310.30021OpenAlexW1999023749MaRDI QIDQ2846917

Gaven J. Martin

Publication date: 4 September 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11684-9

zbMATH Keywords

quasicirclesholomorphic motionsdilatation estimates

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (3)

Stream lines, quasilines and holomorphic motions ⋮ Quasicircles as equipotential lines, homotopy classes and geodesics ⋮ Continuity of condenser capacity under holomorphic motions

Cites Work

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• Holomorphic motions, Fatou linearization, and quasiconformal rigidity for parabolic germs
• Möglichst konforme Spielung an einer Jordankurve. (Utmost conformal refection at a Jordan curve)
• On the dynamics of rational maps
• The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions
• Holomorphic Motions and Related Topics
• Holomorphic Motions and Polynomial Hulls
• Extremal plane quasiconformal mappings with given boundary values
• Extremal mappings of finite distortion
• Extremal quasiconformal mappings

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