Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds

We prove resolvent estimates in Schatten spaces for Laplace- Beltrami operators on compact manifolds at the critical exponent. Our proof only uses known bounds for the Hadamard parametrix.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2026-01-14
DOI
https://doi.org/10.1090/proc/17467
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds

Proceedings of the American Mathematical Society
Spectral Theory in Mathematical Physics
article

Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds

article en

Abstract

We prove resolvent estimates in Schatten spaces for Laplace- Beltrami operators on compact manifolds at the critical exponent. Our proof only uses known bounds for the Hadamard parametrix.

Proceedings of the American Mathematical SocietyVol. 154(3)
Loughborough University (GB)
Reduced inequalities
Openalex Percentile: Top 84%
Spectral Theory in Mathematical Physics
DOISourceOpenAlex
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Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds · Proceedings of the American Mathematical Society (2026) | TGRS Research Map | TGRS