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<p>We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from (Cornean et al. Comm. Partial Differential Equations 43(8):1196–1204 (2018) https://doi.org/10.1080/03605302.2018.1499777; J. Fourier Anal. Appl. 30(2):21 (2024) https://doi.org/10.1007/s00041-024-10072-4) to asymmetrical quantizations and smooth symbols dominated by a tempered weight (and not just decay/growth properties in the momentum variables). This leads to new results regarding the symbol calculus of such operators and their Schatten-class properties.</p>

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Magnetic pseudo-differential operators with Hörmander symbols dominated by tempered weights

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  • 发表日期：

    2026年2月2日

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  • Mikkel Hviid Thorn

摘要

We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from (Cornean et al. Comm. Partial Differential Equations 43(8):1196–1204 (2018) https://doi.org/10.1080/03605302.2018.1499777; J. Fourier Anal. Appl. 30(2):21 (2024) https://doi.org/10.1007/s00041-024-10072-4) to asymmetrical quantizations and smooth symbols dominated by a tempered weight (and not just decay/growth properties in the momentum variables). This leads to new results regarding the symbol calculus of such operators and their Schatten-class properties.