The $$L_{p}$$-Boundedness of Some Classes of Pseudo-Differential Operators on the $$m$$-Dimensional Torus

2022

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DOI 10.1134/s0081543822060086
Data confidence 70 medium
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Abstract

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 $$1\leq p\leq\infty$$ .