Multilinear pseudo-differential operators with \(S_{0, 0}\) class symbols of limited smoothness

DOI10.1007/s00041-023-10016-4zbMath1518.35710arXiv2206.09332OpenAlexW4380874103MaRDI QIDQ6160012

Tomoya Kato

Publication date: 23 June 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09332

zbMATH Keywords

local Hardy spacesWiener amalgam spacesmultilinear pseudo-differential operatorsmultilinear Hörmander symbol classes

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Inclusion relations between \(L^p\)-Sobolev and Wiener amalgam spaces
• Characterization of inclusion relations between Wiener amalgam and some classical spaces
• The global Cauchy problem for the NLS and NLKG with small rough data
• Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
• Bilinear pseudodifferential operators with symbols in Besov spaces
• Modulation spaces on the Euclidean n-space
• L\({}^ p\)-boundedness of pseudo-differential operators satisfying Besov estimates. I
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• A local version of real Hardy spaces
• Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
• Foundations of time-frequency analysis
• Almost orthogonality and a class of bounded bilinear pseudodifferential operators
• Bilinear pseudo-differential operators with exotic symbols
• Boundedness of multilinear pseudo-differential operators of \(S_{0,0}\)-type in \(L^2\)-based amalgam spaces
• Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^2\times L^2\)
• Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class \(S_{0,0}\)
• Time-frequency analysis of operators
• Multilinear pseudodifferential operators beyond Calderón-Zygmund theory
• On the \(L^p\)-boundedness of pseudo-differential operators with non-regular symbols
• L\(^p\) bounds for pseudo-differential operators
• Changes of variables in modulation and Wiener amalgam spaces
• Generalized Amalgams, With Applications to Fourier Transform
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Estimates for Pseudo-Differential Operators of Class S0,0
• The L 2 -Boundedness of Pseudodifferential Operators
• A Generalization of the Calderón-Vaillancourt Theorem toLp andhp
• Harmonic Analysis on Amalgams of L^P and l^q
• Besov Spaces, Symbolic Calculus, and Boundedness of Bilinear Pseudodifferential Operators
• Modern Fourier Analysis
• On the Hormander classes of bilinear pseudodifferential operators II
• Calderon-Vaillancourt--type theorem for bilinear operators
• Special trigonometric series in 𝑘-dimensions
• A Class of Bounded Pseudo-Differential Operators

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