Journal article
A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(K,N) spaces
- Abstract:
- In the framework of (possibly non-smooth) metric measure spaces with Ricci curvature bounded below by a positive constant in a synthetic sense, we establish a sharp and rigid reverse-H\"older inequality for first eigenfunctions of the Dirichlet Laplacian. This generalises to the positively curved and non-smooth setting the classical "Chiti Comparison Theorem". We also prove a related quantitative stability result which seems to be new even for smooth Riemannian manifolds.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Accepted manuscript, pdf, 509.2KB, Terms of use)
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- Publisher copy:
- 10.1090/proc/16099
Authors
- Publisher:
- American Mathematical Society
- Journal:
- Proceedings of the American Mathematical Society More from this journal
- Volume:
- 151
- Pages:
- 295-311
- Publication date:
- 2022-09-23
- Acceptance date:
- 2022-04-04
- DOI:
- EISSN:
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1088-6826
- ISSN:
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0002-9939
- Language:
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English
- Keywords:
- Pubs id:
-
1200146
- Local pid:
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pubs:1200146
- Deposit date:
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2022-04-04
- ARK identifier:
Terms of use
- Copyright holder:
- American Mathematical Society
- Copyright date:
- 2022
- Rights statement:
- © Copyright 2022 American Mathematical Society
- Notes:
- This is the accepted manuscript version of the article. The final version will be available online from American Mathematical Society at: https://doi.org/10.1090/proc/16099
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