Published Paper

Inserted: 10 dec 2020
Last Updated: 28 may 2022

Journal: Asymptotic Analysis
Volume: 126
Number: 3-4
Pages: 201-214
Year: 2022
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