SU\G(𝔸)/K·U

Quasi-Banach Schatten-von Neumann properties in Weyl-H\"ormander calculus

Matteo Bonino, Sandro Coriasco, Albin Petersson, Joachim Toft

Type: Preprint

Publication Date: 2024-05-08

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2405.05065

Abstract

We study structural properties of Wiener-Lebesgue spaces with respect to a slowly varying metrics and certain Lebesgue parameters. For $p\in (0,1]$, we deduce Schatten-$p$ properties for pseudo-differential operators whose symbols, together with their derivatives, obey suitable Wiener-Lebesgue-boundedness conditions. Especially, we perform such investigations for the Weyl-H\"ormander calculus. Finally, we apply our results to global-type SG and Shubin pseudo-differential operators.

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  • arXiv (Cornell University) - View - PDF

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