The \(L_p\)-boundedness of some classes of pseudo-differential operators on the \(m\)-dimensional torus

DOI10.1134/S0081543822060086OpenAlexW4321128474MaRDI QIDQ2689284

Yanyan Li

Publication date: 9 March 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822060086

zbMATH Keywords

symbolpseudo-differential operatorbounded operator\(m\)-dimensional torus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) A priori estimates in context of PDEs (35B45)

Cites Work

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• Quantization of pseudo-differential operators on the torus
• Approximation of continuous periodic functions of many variables by spherical Riesz means
• Weak type (1,1) bounds for a class of periodic pseudo-differential operators
• Pseudo-differential operators with nonregular symbols
• L\(^p\) bounds for pseudo-differential operators
• On The L²continuity of pseudo_differential operators
• On the Boundedness of Pseudo Differential Operators in the Class L m ρ, 1
• The L^p-boundedness of pseudo-differential operators with non-regular symbols
• L p -bounds for Pseudo-differential Operators on the Torus
• Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
• On the L² continuity of pseudo‐differential operators
• A Class of Bounded Pseudo-Differential Operators

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