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arXiv · 2506.12191

Weighted symbol spaces, magnetic translations, and pseudodifferential operators

Michael Hitrik·Reid Johnson
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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.

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Michael Hitrik, Reid Johnson. 2025-06-13. Weighted symbol spaces, magnetic translations, and pseudodifferential operators. https://arxiv.org/abs/2506.12191

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