Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds
Analysis of PDEs
2025-12-10 v2 Spectral Theory
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.
Cite
@article{arxiv.2405.09957,
title = {Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds},
author = {Jean-Claude Cuenin},
journal= {arXiv preprint arXiv:2405.09957},
year = {2025}
}
Comments
5 pages