Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces-Reference-Cited by-同舟云学术

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

Published:2022-01-06 Issue:3-4 Volume:126 Page:201-214
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Maione Alberto¹,Salort Ariel M.²³,Vecchi Eugenio⁴

Affiliation:

1. Abteilung für Angewandte Mathematik, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 10, 79104 Freiburg i. Br., Germany. E-mail: alberto.maione@mathematik.uni-freiburg.de

2. Departamento de Matemática, FCEyN – Universidad de Buenos Aires, Pabellón I (1428) Av. Cantilo s/n., Buenos Aires, Argentina. E-mail: asalort@dm.uba.ar; URL:

3. IMAS – CONICET Ciudad Universitaria, Argentina

4. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 20133, Milano (MI), Italy. E-mail: eugenio.vecchi@polimi.it

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)).

Publisher

IOS Press

Subject

General Mathematics

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