New characterization of magnetic Sobolev spaces

Marco Squassina, Hoai-Minh Nguyen, Andrea Pinamonti, Eugenio Vecchi

Risultato della ricerca: Contributo in rivistaArticolo in rivista

23 Citazioni (Scopus)

Abstract

We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due to Bourgain, Brezis and Mironescu. The second one is related to the work of the first author on the classical Sobolev spaces. We also study the convergence almost everywhere and the convergence in L 1 appearing naturally in these contexts.
Lingua originaleEnglish
pagine (da-a)227-245
Numero di pagine19
RivistaAdvances in Nonlinear Analysis
Volume7
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • Magnetic Sobolev spaces

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