Accepted Paper
Inserted: 10 dec 2020
Last Updated: 5 mar 2021
Journal: Asymptotic Analysis
Year: 2021
Doi: 10.3233/ASY-211677
Abstract:
In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous study of the limit as $s \uparrow 1$ performed by the second author in 21.
Keywords: Orlicz spaces, Asymptotic behaviours, Fractional Sobolev norms