A \(C^m\) Lusin Approximation Theorem for Horizontal Curves in the Heisenberg Group

We prove a \(C^m\) Lusin approximation theorem for horizontal curves in the Heisenberg group. This states that every absolutely continuous horizontal curve whose horizontal velocity is \(m-1\) times \(L^1\) differentiable almost everywhere coincides with a \(C^m\) horizontal curve except on a set of...

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Veröffentlicht in:	arXiv.org 2021-01
Hauptverfasser:	Capolli, Marco, Pinamonti, Andrea, Speight, Gareth
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Mathematical analysis Theorems
Online-Zugang:	Volltext
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