Calculus of Variations and Geometric Measure Theory
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A. Maione - A. M. Salort - E. Vecchi

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

created by maione on 10 Dec 2020
modified on 05 Mar 2021

[BibTeX]

Accepted Paper

Inserted: 10 dec 2020
Last Updated: 5 mar 2021

Journal: Asymptotic Analysis
Year: 2021
Doi: 10.3233/ASY-211677

ArXiv: 2005.04662 PDF

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

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