${\mathsf{L}}^1$-elliptic regularity and $H=W$ on the whole ${\mathsf{L}}^p$-scale on arbitrary manifolds

Davide Guidetti, Batu Güneysu, Diego Pallara

We define abstract Sobolev type spaces on ${\mathsf{L}}^p$-scales, $p\in [1,\infty )$, on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…