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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.12191 |
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| _version_ | 1866915343246557184 |
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| author | Hitrik, Michael Johnson, Reid |
| author_facet | Hitrik, Michael Johnson, Reid |
| contents | We study pseudodifferential operators associated to microlocally defined normed symbol spaces of limited regularity, introduced by J. Sjöstrand. Boundedness of such operators on modulation spaces is obtained under suitable conditions, and continuity properties of the Weyl composition product are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted symbol spaces, magnetic translations, and pseudodifferential operators Hitrik, Michael Johnson, Reid Functional Analysis Analysis of PDEs 35S05, 47G30 We study pseudodifferential operators associated to microlocally defined normed symbol spaces of limited regularity, introduced by J. Sjöstrand. Boundedness of such operators on modulation spaces is obtained under suitable conditions, and continuity properties of the Weyl composition product are established. |
| title | Weighted symbol spaces, magnetic translations, and pseudodifferential operators |
| topic | Functional Analysis Analysis of PDEs 35S05, 47G30 |
| url | https://arxiv.org/abs/2506.12191 |