On quasiconformal maps with identity boundary values

DOI10.1090/S0002-9947-2010-04994-3zbMath1226.30024arXiv0807.4418MaRDI QIDQ3003608

Vesna Manojlović, Matti Vuorinen

Publication date: 27 May 2011

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

Full work available at URL: https://arxiv.org/abs/0807.4418

zbMATH Keywords

boundary behaviorquasiconformal mappingsmappings of finite and bounded distortiongeneralization of quasiconformal mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in the complex plane (30C62)

Related Items (5)

Distortion of quasiconformal mappings with identity boundary values ⋮ Unnamed Item ⋮ Teichmüller's problem for Gromov hyperbolic domains ⋮ Quasiconformal homogeneity after Gehring and Palka ⋮ Teichmüller's problem in space

Cites Work

• Modular equations and distortion functions
• Conformal geometry and quasiregular mappings
• Quasiconformally homogeneous domains
• Estimates of stability, distortion theorems, and topological properties of quasiregular mappings
• Lectures on \(n\)-dimensional quasiconformal mappings
• The Distortion Theorem for quasiconformal mappings, Schottky’s Theorem and holomorphic motions
• A Remark on the Maximal Dilatation of a Quasiconformal Mapping
• On the distortion theorem for quasiconformal mappings with fixed boundary values
• Estimates for the hyperbolic metric of the punctured plane and applications
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