On \(L^p\)-boundedness of Fourier integral operators

DOI10.1007/s11118-021-09910-7zbMath1491.42026OpenAlexW3133612179MaRDI QIDQ2148905

Wenyi Chen, Jie Yang, Guangqing Wang

Publication date: 24 June 2022

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-021-09910-7

zbMATH Keywords

Fourier integral operatorsphase functionSeeger-Sogge-Stein decompositionrough amplitude

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (45P05) Fourier integral operators applied to PDEs (35S30) Harmonic analysis and PDEs (42B37)

Related Items (3)

\(L^p\)-regularity of rough bi-parameter Fourier integral operators ⋮ An \(L^q\rightarrow L^r\) estimate for rough Fourier integral operators and its applications ⋮ On \(L^2\) boundedness of rough Fourier integral operators

Cites Work

• Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators
• \(L^p\) estimates for the waves equation
• Regularity properties of Fourier integral operators
• Fourier integral operators. I
• Global and local regularity of Fourier integral operators on weighted and unweighted spaces
• 𝐿^{𝑝} boundedness of Fourier integral operators
• The weak-type (1,1) of Fourier integral operators of order –(n–1)/2
• Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
• DEGENERATE ELLIPTIC PSEUDODIFFERENTIAL EQUATIONS OF PRINCIPAL TYPE
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