Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces

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].

References in corpus (3)

• On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting
• Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups
• On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups

Cited by in corpus (1)

• Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces