Abstract
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.
Funding Statement
N. Shanmugalingam was supported in part by the Taft Foundation of the University of Cincinnati.
Citation
Riikka Korte. Niko Marola. Nageswari Shanmugalingam. "Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property." Ark. Mat. 50 (1) 111 - 134, April 2012. https://doi.org/10.1007/s11512-010-0137-x
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