The $0$-fractional perimeter between fractional perimeters and Riesz potentials

Lucia De Luca, Matteo Novaga, Marcello Ponsiglione

This paper provides a unified point of view on fractional perimeters and Riesz potentials. Denoting by $H^{\sigma }$ - for $\sigma \in (0,1)$ - the $\sigma$-fractional perimeter and by $J^{\sigma }$ - for $σ…