Endpoint boundedness of toroidal pseudo-differential operators

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({{\ma...

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Bibliographic Details
Main Author: Ramla Benhamoud
Format: Article
Language:English
Published: De Gruyter 2024-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2024-0023