The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds

Batu Güneysu, Stefano Pigola

We introduce the concept of Calderón-Zygmund inequalities on Riemannian manifolds. For $1<p<\infty$, these are inequalities of the form $$ \left\Vert \mathrm{Hess}\left( u\right) \…