Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces

Serena Della Corte, Antonia Diana, Carlo Mantegazza

In this note, our aim is to show that families of smooth hypersurfaces of ${\mathbb{R}}^{n+1}$ which are all $C^1$--close enough to a fixed compact, embedded one, have uniformly bound…