The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions

DOI10.1090/S0002-9939-97-03677-0zbMath0870.30017OpenAlexW1897498778MaRDI QIDQ3127293

Gaven J. Martin

Publication date: 8 April 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03677-0

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (13)

Stream lines, quasilines and holomorphic motions ⋮ Quasicircles as equipotential lines, homotopy classes and geodesics ⋮ Comparing hyperbolic distance with Kra's distance on the unit disk ⋮ Monotonicity, convexity, and inequalities involving the Agard distortion function ⋮ On quasiconformal maps with identity boundary values ⋮ The failure of Ruelle's property for entire functions ⋮ On the distortion theorem for quasiconformal mappings with fixed boundary values ⋮ Estimates for the hyperbolic metric of the punctured plane and applications ⋮ Modular equations and distortion functions ⋮ Topics in special functions. II ⋮ Singular values, quasiconformal maps and the Schottky upper bound ⋮ Holomorphic motions and quasicircles ⋮ Some inequalities for the Poincaré metric of plane domains

Cites Work

• The boundary correspondence under quasiconformal mappings
• On the dynamics of rational maps
• The Poincaré Metric on the Twice Punctured Plane and the Theorems of Landau and Schottky
• Precise Bounds in the Theorems of Schottky and Picard
• Holomorphic Motions and Polynomial Hulls
• Holomorphic Motions and Teichmuller Spaces
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