May 16, 2024Open Access

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

JCJean‐Claude CueninLoughborough University

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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.

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Jean‐Claude Cuenin (Thu,) studied this question.

synapsesocial.com/papers/68e69d57b6db6435876229c5 https://doi.org/https://doi.org/10.48550/arxiv.2405.09957

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