On the notion of Laplacian bounds on RCD spaces and applications

We show that several different interpretations of the inequality ∆f ≤ 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 functio...

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Hlavní autoři: Gigli, N, Mondino, A, Semola, D
Médium: Journal article
Jazyk:English
Vydáno: American Mathematical Society 2023