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. - (2023), pp. 1-12. [10.1090/proc/16550]
On the notion of Laplacian bounds on RCD spaces and applications
Gigli,Nicola;Mondino, Andrea;Semola, Daniele
2023-01-01
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:
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