Universal infinitesimal Hilbertianity of sub-Riemannian manifolds

Enrico Le Donne, Danka Lučić, Enrico Pasqualetto

We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result foll…