In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous asymptotic study of the limit as s ↑ 1 performed by the second author in (Studia Mathematica (2020)).

Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces

Maione, Alberto;Vecchi, Eugenio
2022-01-01

Abstract

In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous asymptotic study of the limit as s ↑ 1 performed by the second author in (Studia Mathematica (2020)).
2022
Asymptotic behaviours
Fractional Sobolev norms
Orlicz spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1309651
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