Arkiv för Matematik
- Ark. Mat.
- Volume 50, Number 1 (2012), 111-134.
Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property
We characterize quasiconformal mappings as those homeomorphisms between two metric measure spaces of locally bounded geometry that preserve a class of quasiminimizers. We also consider quasiconformal mappings and densities in metric spaces and give a characterization of quasiconformal mappings in terms of the uniform density property introduced by Gehring and Kelly.
N. Shanmugalingam was supported in part by the Taft Foundation of the University of Cincinnati.
Ark. Mat., Volume 50, Number 1 (2012), 111-134.
Received: 15 January 2010
Revised: 23 August 2010
First available in Project Euclid: 31 January 2017
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2011 © Institut Mittag-Leffler
Korte, Riikka; Marola, Niko; Shanmugalingam, Nageswari. Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property. Ark. Mat. 50 (2012), no. 1, 111--134. doi:10.1007/s11512-010-0137-x. https://projecteuclid.org/euclid.afm/1485907157