Work

Quasi-Banach Schatten–von Neumann properties in the Weyl–Hörmander calculus

Year: 2025

Type: article

Abstract: We study structural properties of [Formula: see text], which are Wiener–Lebesgue spaces with respect to a slowly varying metric [Formula: see text] and with parameters [Formula: see text], [Formula: see text]. For [Formula: see text], we deduce Schatten-[Formula: see text] properties for pseudo-differential operators whose symbols, together with their derivatives, obey suitable [Formula: see text]-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.

Source: Analysis and Applications

DOI: 10.1142/s0219530525500356

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

Institutions: University of Turin, Linnaeus University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Award: G5339074417