Weighted symbol spaces, magnetic translations, and pseudodifferential operators
Functional Analysis
2025-06-17 v1 Analysis of PDEs
Abstract
We study pseudodifferential operators associated to microlocally defined normed symbol spaces of limited regularity, introduced by J. Sj\"ostrand. Boundedness of such operators on modulation spaces is obtained under suitable conditions, and continuity properties of the Weyl composition product are established.
Keywords
Cite
@article{arxiv.2506.12191,
title = {Weighted symbol spaces, magnetic translations, and pseudodifferential operators},
author = {Michael Hitrik and Reid Johnson},
journal= {arXiv preprint arXiv:2506.12191},
year = {2025}
}