Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property

Riikka Korte; Niko Marola; Nageswari Shanmugalingam

doi:10.1007/s11512-010-0137-x

Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property

Riikka Korte, Niko Marola^*, Nageswari Shanmugalingam

^*Corresponding author for this work

Not published at Aalto University

Research output: Contribution to journal › Article › Scientific › peer-review

15 Citations (Scopus)

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.

Original language	English
Pages (from-to)	111-134
Number of pages	24
Journal	Arkiv för Matematik
Volume	50
Issue number	1
DOIs	https://doi.org/10.1007/s11512-010-0137-x
Publication status	Published - 1 Apr 2012
MoE publication type	A1 Journal article-refereed

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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.",

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AB - 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.

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Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property

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