The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz–Sobolev spaces in Rn. An improved embedding with an Orlicz–Lorentz target space, which is optimal in the broader class of all rearrangement-invariant spaces, is also established. Both spaces of order s∈(0,1), and higher-order spaces are considered. Related Hardy type inequalities are proposed as well.
Fractional Orlicz-Sobolev embeddings / Alberico A.; Cianchi A.; Pick L.; Slavikova L.. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - STAMPA. - 149:(2021), pp. 216-253. [10.1016/j.matpur.2020.12.007]
Fractional Orlicz-Sobolev embeddings
Cianchi A.
;
2021
Abstract
The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz–Sobolev spaces in Rn. An improved embedding with an Orlicz–Lorentz target space, which is optimal in the broader class of all rearrangement-invariant spaces, is also established. Both spaces of order s∈(0,1), and higher-order spaces are considered. Related Hardy type inequalities are proposed as well.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
ACPS_JMPA.pdf
Accesso chiuso
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
542.59 kB
Formato
Adobe PDF
|
542.59 kB | Adobe PDF | Richiedi una copia |
|
ACPS_Fractional-short_JMPA.pdf
accesso aperto
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Creative commons
Dimensione
440.12 kB
Formato
Adobe PDF
|
440.12 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
