The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol'dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure.
Differential structure associated to axiomatic Sobolev spaces / Gigli, N.; Pasqualetto, E.. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - 38:4(2019), pp. 480-495. [10.1016/j.exmath.2019.01.002]
Differential structure associated to axiomatic Sobolev spaces
Gigli N.;Pasqualetto E.
2019-01-01
Abstract
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol'dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Cotg_D-Structure_revised.pdf
accesso aperto
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
367.57 kB
Formato
Adobe PDF
|
367.57 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
