We show that several different interpretations of the inequality Δf ≤ η are equivalent in the setting of RCD(K,N) spaces. With respect to previously available results in this direction, we improve both on the generality of the underlying space and in terms of regularity to be assumed on the function f. Applications are presented.
On the notion of Laplacian bounds on RCD spaces and applications / Gigli, Nicola; Mondino, Andrea; Semola, Daniele. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - (2024), pp. 1-12. [10.1090/proc/16550]
On the notion of Laplacian bounds on RCD spaces and applications
Gigli,Nicola;Mondino, Andrea;Semola, Daniele
2024-01-01
Abstract
We show that several different interpretations of the inequality Δf ≤ η are equivalent in the setting of RCD(K,N) spaces. With respect to previously available results in this direction, we improve both on the generality of the underlying space and in terms of regularity to be assumed on the function f. Applications are presented.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
laplacian RCD-Final.pdf
non disponibili
Descrizione: preprint
Tipologia:
Documento in Pre-print
Licenza:
Non specificato
Dimensione
385.41 kB
Formato
Adobe PDF
|
385.41 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
