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.
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups / Capolli M.; Maione A.; Salort A.M.; Vecchi E.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - STAMPA. - 31:3(2021), pp. 3196-3229. [10.1007/s12220-020-00391-5]
Asymptotic Behaviours in Fractional Orlicz–Sobolev Spaces on Carnot Groups
Vecchi E.
2021
Abstract
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Asymptotic_behaviours_in_Fractional_Orlicz_Sobolev_spaces_on_Carnot_groups.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
615.79 kB
Formato
Adobe PDF
|
615.79 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
