Homeomorphisms of the Heisenberg group preserving BMO

DOI10.1007/s00013-015-0849-zzbMath1339.30022arXiv1509.09265OpenAlexW3099812251WikidataQ109993880 ScholiaQ109993880MaRDI QIDQ5964801

Riikka Korte, Niko Marola, Olli Saari

Publication date: 1 March 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09265

zbMATH Keywords

quasiconformal mapsCarnot groups

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Quasiconformal mappings in metric spaces (30L10)

Cites Work

• A characterization of BMO self-maps of a metric measure space
• Nonlinear potential theory on metric spaces
• Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property
• On composition operators which preserve BMO.
• Homeomorphisms of the line which preserve BMO
• A remark on quasi-conformal mappings and BMO-functions
• Quasiconformal maps in metric spaces with controlled geometry
• Lectures on analysis on metric spaces
• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Definitions of quasiconformality
• Functions of bounded mean oscillation and quasiconformal mappings
• Doubling measures and quasiconformal maps
• TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS
• Maximal Functions, A ∞ -Measures, and Quasiconformal Maps
• Weight functions of the class $\left( {A_\infty } \right)$ and quasi-conformal mappings

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