On fractional Hardy-type inequalities in general open sets

Eleonora Cinti, Francesca Prinari

We show that, when $sp>N$, the sharp Hardy constant ${\mathfrak{h}}_{s,p}$ of the punctured space ${\mathbb{R}}^N\setminus \{0\}$ in the Sobolev-Slobodecki\uı space provides an optimal l…