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arXiv · 1509.09265

Homeomorphisms of the Heisenberg group preserving BMO

Riikka Korte·Niko Marola·Olli Saari
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Abstract

We provide a new geometric proof of Reimann's theorem characterizing quasiconformal mappings as the ones preserving functions of bounded mean oscillation. While our proof is new already in the Euclidean spaces, it is applicable in Heisenberg groups as well as in more general stratified nilpotent Carnot groups.

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Riikka Korte, Niko Marola, Olli Saari. 2015-09-30. Homeomorphisms of the Heisenberg group preserving BMO. https://doi.org/10.1007/s00013-015-0849-z

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