Endpoint boundedness of toroidal pseudo-differential operators
| Autor: | Ramla Benhamoud |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Open Mathematics, Vol 22, Iss 1, Pp 269-305 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2391-5455 2024-0023 |
| DOI: | 10.1515/math-2024-0023 |
| Popis: | In this note, we prove that the toroidal pseudo-differential operator is bounded from L∞(Tn){L}^{\infty }\left({{\mathbb{T}}}^{n}) to BMO(Tn){\rm{BMO}}\left({{\mathbb{T}}}^{n}) if the symbol belongs to the toroidal Hörmander class Sρ,δn(ρ−1)∕2(Tn×Zn){S}_{\rho ,\delta }^{n\left(\rho -1)/2}\left({{\mathbb{T}}}^{n}\times {{\mathbb{Z}}}^{n}) with 0 |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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