On quasiconformal maps with identity boundary values

2008/07/28 by Manojlović, Vesna, Vuorinen, Matti
#30C65 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0807.4418

Abstract

Quasiconformal homeomorphisms of the unit ball Bⁿ of \mathbb Rⁿ, n ≥ 3, onto itself with identity boundary values are studied. A spatial analogue of Teichmüller's theorem is proved.

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• Distortion of quasiconformal mappings with identity boundary values
• Quasiconformal mappings and singularity of boundary distortion
• Mapping Theorems
• Teichmüller's problem for Gromov hyperbolic domains
• On Mori's theorem for quasiconformal maps in the n-space