info:eu-repo/semantics/article
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups
Fecha
2020-03Registro en:
Capolli, M.; Maione, A.; Salort, Ariel Martin; Vecchi, E.; Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups; Springer; The Journal Of Geometric Analysis; 31; 3; 3-2020; 3196-3229
1050-6926
CONICET Digital
CONICET
Autor
Capolli, M.
Maione, A.
Salort, Ariel Martin
Vecchi, E.
Resumen
In this article, we define a class of fractional Orlicz–Sobolev spaces on Carnot groups, and in the spirit of the celebrated results of Bourgain–Brezis–Mironescu and of Maz’ya–Shaposhnikova, we study the asymptotic behaviour of the Orlicz functionals when the fractional parameter goes to 1 and 0.