Bourgain-Brezis-Mironescu formula for Riesz Potentials

Alejandro Claros, Carlos Pérez

We identify the Bourgain-Brezis-Mironescu pointwise limit of the nonlocal potential operator $(1-\alpha )I_{\alpha }({\mathcal{D}}^{\alpha }f)$, $0<\alpha <1$, where $I_{\alpha }$ denotes the Riesz potential and $\ma…