On the unboundedness of a class of Fourier integral operators on \(L^2(\mathbb R^n)\)

DOI10.1016/j.jmaa.2013.04.041zbMath1358.42016arXiv1302.0407OpenAlexW2962978618MaRDI QIDQ2257159

Abderrahmane Senoussaoui

Publication date: 24 February 2015

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

Full work available at URL: https://arxiv.org/abs/1302.0407

zbMATH Keywords

Fourier integral operatorsamplitude\(L^2\)-boundednesssymbol and phase

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) General theory of partial differential operators (47F05)

Related Items (7)

The boundedness of a class of semiclassical Fourier integral operators on Sobolev space \(H^s\) ⋮ Unnamed Item ⋮ $h$-Admissible Fourier integral operators ⋮ On the global Lp boundedness of a general class of h-Fourier integral operators ⋮ On \(L^2\)-boundedness of \(h\)-pseudodifferential operators ⋮ L2-boundedness and L2-compactness of a class of semiclassical Fourier integral operators with operator symbol ⋮ Unnamed Item

Cites Work

• A class of unbounded Fourier integral operators
• Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke
• Parametrix of the hyperbolic \(C^\infty\) Cauchy problem with a Leray-Volevich order system
• On the boundedness of pseudo-differential operators
• Fourier integral operators. I
• Pseudo-differential operaors of type 1,1.
• A problem of nirenberg on pseudo‐differential operators
• On the L² continuity of pseudo‐differential operators
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