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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2016 Volume 22, Number 4, Pages 64–80 (Mi timm1354)
This article is cited in 1 paper

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

D. B. Bazarkhanov

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan

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 $1 \leq p \leq \infty$.

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

UDC: 517.95

MSC: 58J40, 35S05, 42B05

Received: 07.11.2016

DOI: 10.21538/0134-4889-2016-22-4-64-80


 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2022, 319, suppl. 1, S80–S97

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