Boundary Correspondence Under Harmonic Quasiconformal Homeomorphisms of the Unit Disk
Year: 2002
Type: article
Abstract: . Let f be a harmonic homeomorphism of the unit disk onto itself. The following conditions are equivalent: (a) f is quasiconformal; (b) f is bi-Lipschitz in the Euclidean metric; (c) the boundary function is bi-Lipschitz and the Hilbert transformation of its derivative is in L1. 1.
Source: Annales Fennici Mathematici
Author: Miroslav Pavlović
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W39867712