Salvato in:
| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2407.14990 |
| Tags: |
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Sommario:
- We characterize, using time-frequency analysis, the continuity and compactness of the Weyl operator in global classes of ultradifferentiable functions $\mathcal{S}_ω$, for weight functions $ω$ in the sense of Braun, Meise and Taylor. As a consequence, we give results about the compactness of the localization operator in $\mathcal{S}_ω$, in relation with the spaces of $ω$-multipliers and $ω$-convolutors of $\mathcal{S}_ω$. Moreover, we provide several examples that complement our investigation.