On the global \(L^p\) boundedness of multilinear \(h\)-Fourier integral operators with rough amplitudes

DOI10.1007/S12215-023-00962-9OpenAlexW4387703206MaRDI QIDQ6204385

Chafika Amel Aitemrar, Abderrahmane Senoussaoui

Publication date: 27 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00962-9

zbMATH Keywords

\(L^p\)-boundedness\(h\)-Fourier integral operatorsrough amplitudes

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) A priori estimates in context of PDEs (35B45) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global boundedness of Fourier integral operators
• Bilinear Fourier integral operators
• Matrix-theoretic \(h\)-admissible operators with operator symbol
• On the boundedness of Fourier integral operators on \(L^p(\mathbb R^n)\)
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• Regularity properties of Fourier integral operators
• On the boundedness of pseudo-differential operators
• Fourier integral operators. I
• The weyl calculus of pseudo-differential operators
• $h$-Admissible Fourier integral operators
• Global $L^p$ continuity of Fourier integral operators
• Global L ²-Boundedness Theorems for a Class of Fourier Integral Operators
• On the global Lp boundedness of a general class of h-Fourier integral operators

This page was built for publication: On the global \(L^p\) boundedness of multilinear \(h\)-Fourier integral operators with rough amplitudes