Norm estimates for a broad class of modulation spaces, and continuity of Fourier type operators
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| Název: | Norm estimates for a broad class of modulation spaces, and continuity of Fourier type operators |
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| Autoři: | Toft, Joachim, 1964, Pfeuffer, Christine, Teofanov, Nenad |
| Zdroj: | Journal of Functional Analysis. 290(1) |
| Témata: | time-frequency analysis, modulation spaces, wiener amalgam spaces, quasi-banach spaces, pseudo-differential operators, toeplitz operators, Mathematics, Matematik |
| Popis: | We consider a broad class of modulation spaces M(ω, B),parameterized with weight function ω and a normal quasiBanach function space B of order r0 ∈ (0, 1]. Then we provethat f ∈ M(ω, B), if and only if Vϕf belongs to the Wieneramalgam space Wr(ω, B), and∥f∥M(ω,B) ≍ ∥Vϕf · ω∥B ≍ ∥Vϕf∥Wr(ω,B), r ∈ [r0, ∞].We use the results to extend and improve continuity andlifting properties for pseudo-differential and Toeplitz operatorswith symbols in weighted M∞,r0 -spaces, r0 ≤ 1, when actingon M(ω, B)-spaces. |
| Popis souboru: | electronic |
| Přístupová URL adresa: | https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-141794 https://doi.org/10.1016/j.jfa.2025.111177 |
| Databáze: | SwePub |
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Nájsť tento článok vo Web of Science | Abstrakt: | We consider a broad class of modulation spaces M(ω, B),parameterized with weight function ω and a normal quasiBanach function space B of order r0 ∈ (0, 1]. Then we provethat f ∈ M(ω, B), if and only if Vϕf belongs to the Wieneramalgam space Wr(ω, B), and∥f∥M(ω,B) ≍ ∥Vϕf · ω∥B ≍ ∥Vϕf∥Wr(ω,B), r ∈ [r0, ∞].We use the results to extend and improve continuity andlifting properties for pseudo-differential and Toeplitz operatorswith symbols in weighted M∞,r0 -spaces, r0 ≤ 1, when actingon M(ω, B)-spaces. |
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| ISSN: | 00221236 10960783 |
| DOI: | 10.1016/j.jfa.2025.111177 |