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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 64–80
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-64-80 (Mi timm1354) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-64-80
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.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 5130/ГФ4
Received: 07.11.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2022, Volume 319, Issue 1, Pages S80–S97
DOI: https://doi.org/10.1134/S0081543822060086
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 58J40, 35S05, 42B05
Language: Russian
Citation: D. B. Bazarkhanov, “The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 64–80; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S80–S97
Citation in format AMSBIB
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\paper The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus
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