Quasi-Banach Schatten-von Neumann properties in Weyl-Hörmander calculus
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911870671126528 |
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| author | Bonino, Matteo Coriasco, Sandro Petersson, Albin Toft, Joachim |
| author_facet | Bonino, Matteo Coriasco, Sandro Petersson, Albin Toft, Joachim |
| contents | 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-Hörmander calculus. Finally, we apply our results to global-type SG and Shubin pseudo-differential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05065 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-Banach Schatten-von Neumann properties in Weyl-Hörmander calculus Bonino, Matteo Coriasco, Sandro Petersson, Albin Toft, Joachim Functional Analysis 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-Hörmander calculus. Finally, we apply our results to global-type SG and Shubin pseudo-differential operators. |
| title | Quasi-Banach Schatten-von Neumann properties in Weyl-Hörmander calculus |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2405.05065 |