Pseudo-differentialoperators on Orlicz modulation spaces

TL;DR

This paper investigates the continuity properties of pseudo-differential operators with symbols in quasi-Banach Orlicz modulation spaces, extending previous results and broadening the understanding of these operators in advanced functional spaces.

Contribution

It introduces new continuity results for pseudo-differential operators on Orlicz modulation spaces, expanding the theoretical framework beyond prior work.

Findings

Extended continuity properties for pseudo-differential operators

Broadened applicability to quasi-Banach Orlicz modulation spaces

Generalized previous results in the literature

Abstract

We deduce continuity properties for pseudo-differential operators with symbols in quasi-Banach Orlicz modulation spaces when rely on other quasi-Banach Orlicz modulation spaces. In particular we extend certain results in \cite{GH1,GH2,Toft2,Toft10,Toft16}.