Journal article
On the notion of Laplacian bounds on RCD spaces and applications
- Abstract:
- 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 function f. Applications are presented.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Accepted manuscript, pdf, 385.4KB, Terms of use)
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- Publisher copy:
- 10.1090/proc/16550
Authors
Bibliographic Details
- Publisher:
- American Mathematical Society
- Journal:
- Proceedings of the American Mathematical Society More from this journal
- Volume:
- 152
- Issue:
- 2
- Pages:
- 829-841
- Publication date:
- 2023-11-07
- Acceptance date:
- 2023-05-13
- DOI:
- EISSN:
-
1088-6826
- ISSN:
-
0002-9939
Item Description
Terms of use
- Copyright holder:
- Gigli et al
- Copyright date:
- 2023
- Rights statement:
- © 2023 by the authors. The second author received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, grant agreement No.802689 “CURVATURE” For the purpose of open access, the second author applied a ’Creative Commons Attribution’ (CC BY) public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission.
- Licence:
- CC Attribution (CC BY)
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