Some characterizations of magnetic Sobolev spaces

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

Risultato della ricerca: Contributo in rivistaAbstract

Abstract

The aim of this note is to survey recent results contained in Nguyen H-M, Squassina M. [On anisotropic Sobolev spaces. Commun Contemp Math, to appear. DOI:10.1142/S0219199718500177]; Nguyen H-M, Pinamonti A, Squassina M, et al. [New characterizations of magnetic Sobolev spaces. Adv Nonlinear Anal. 2018;7(2):227–245]; Pinamonti A, Squassina M, Vecchi E. [Magnetic BV functions and the Bourgain-Brezis-Mironescu formula. Adv Calc Var, to appear. DOI:10.1515/acv-2017-0019]; Pinamonti A, Squassina M, Vecchi E. [The Maz'ya-Shaposhnikova limit in the magnetic setting. J Math Anal Appl. 2017;449:1152–1159] and Squassina M, Volzone B. [Bourgain-Brezis-Mironescu formula for magnetic operators. C R Math Acad Sci Paris. 2016;354:825–831], where the authors extended to the magnetic setting several characterizations of Sobolev and BV functions.
Lingua originaleEnglish
pagine (da-a)1104-1114
Numero di pagine11
RivistaComplex Variables and Elliptic Equations
Volume65
DOI
Stato di pubblicazionePubblicato - 2020

Keywords

  • 26A33
  • 49A50
  • 82D99
  • nonlocal functionals
  • Magnetic Sobolev spaces
  • new characterization
  • D. Repovš

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