Asymptotic mean value Laplacian on equiregular sub-Riemannian manifolds

Fabrice Baudoin, Jonathan Junné, David Tewodrose

Let $(M,\mathcal{D},g)$ be a smooth equiregular sub-Riemannian manifold equipped with a smooth positive measure $\mu$. We study the small-scale limit of the metric-ball mean-value op…