The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus

D. B. Bazarkhanov

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 64-80

Résumé

We prove that certain classes of pseudo-differential operators with symbols that are nonsmooth in the space variable are $L_p$-bounded on the $m$-dimensional torus for $1 \leq p \leq \infty$.

Détail

Keywords: pseudo-differential operator, bounded operator, $m$-dimensional torus.
Mots-clés : symbol

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