Accepted Paper

Inserted: 9 nov 2022
Last Updated: 14 jan 2025

Journal: ARMA
Year: 2022

Abstract:

We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pansu-differentiable almost everywhere for some Radon measures $\mu$, then $\mu$ must be absolutely continuous with respect to the Haar measure of the group.

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• Reverse_Pansu.pdf