ON THE NOTION OF LAPLACIAN BOUNDS ON RCD SPACES AND APPLICATIONS

Nicola Gigli; Andrea Mondino; Daniele Semola

doi:10.1090/proc/16550

ON THE NOTION OF LAPLACIAN BOUNDS ON RCD SPACES AND APPLICATIONS

Nicola Gigli, Andrea Mondino, Daniele Semola

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

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.

Originalsprache	Englisch
Seiten (von - bis)	829-841
Seitenumfang	13
Fachzeitschrift	Proceedings of the American Mathematical Society
Jahrgang	152
Ausgabenummer	2
DOIs	https://doi.org/10.1090/proc/16550
Publikationsstatus	Veröffentlicht - 1 Feb. 2024
Extern publiziert	Ja

ÖFOS 2012

101002 Analysis
101009 Geometrie

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10.1090/proc/16550

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ON THE NOTION OF LAPLACIAN BOUNDS ON RCD SPACES AND APPLICATIONS

Abstract

ÖFOS 2012

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