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

Matteo Bonino; Sandro Coriasco; Albin Petersson; Joachim Toft

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

Functional Analysis 2024-05-09 v1

Authors: Matteo Bonino , Sandro Coriasco , Albin Petersson , Joachim Toft

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.

Keywords

Wiener-Lebesgue spaces Schatten-p properties pseudo-differential operators Weyl-Hormander calculus quasi-Banach

Cite

@article{arxiv.2405.05065,
  title  = {Quasi-Banach Schatten-von Neumann properties in Weyl-H\"ormander calculus},
  author = {Matteo Bonino and Sandro Coriasco and Albin Petersson and Joachim Toft},
  journal= {arXiv preprint arXiv:2405.05065},
  year   = {2024}
}

Comments

21 pages. This is the first version. Some changes might be performed in the next versions

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

Abstract

Keywords

Cite

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