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

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Jean‐Claude Cuenin
DOI: 10.1090/proc/17467
Cited by: 0
References: 16

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.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Advanced Mathematical Physics Problems Mathematical Analysis and Transform Methods

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
3
Pages
1353–1357
Publication date
14 January 2026
Language
EN