Comptes Rendus
no. 8
Partial differential equations/Functional analysis
Bourgain–Brézis–Mironescu formula for magnetic operators

Presented by: Haïm Brézis

Marco Squassina1; Bruno Volzone2
1 Dipartimento di Informatica, Università degli Studi di Verona, Strada Le Grazie 15, 37134 Verona, Italy
2 Dipartimento di Ingegneria, Università di Napoli Parthenope, Centro Direzionale Isola C/4, 80143 Napoli, Italy
Comptes Rendus. Mathématique, Volume 354 (2016) no. 8, pp. 825-831.

We prove a Bourgain–Brézis–Mironescu-type formula for a class of nonlocal magnetic spaces, which builds a bridge between a fractional magnetic operator recently introduced and the classical theory.

On démontre une formule du type Bourgain–Brézis–Mironescu pour une classe d'espaces magnétiques non locaux, qui jette un pont entre un opérateur magnétique fractionnaire récemment introduit et la théorie classique.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.04.013

Marco Squassina 1; Bruno Volzone 2

1 Dipartimento di Informatica, Università degli Studi di Verona, Strada Le Grazie 15, 37134 Verona, Italy
2 Dipartimento di Ingegneria, Università di Napoli Parthenope, Centro Direzionale Isola C/4, 80143 Napoli, Italy 
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Marco Squassina; Bruno Volzone. Bourgain–Brézis–Mironescu formula for magnetic operators. Comptes Rendus. Mathématique, Volume 354 (2016) no. 8, pp. 825-831. doi : 10.1016/j.crma.2016.04.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.04.013/

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