Global $L^p$ continuity of Fourier integral operators

DOI10.1090/S0002-9947-2014-05911-4zbMath1301.35231arXiv0910.2751MaRDI QIDQ5400812

Michael Ruzhansky, Sandro Coriasco

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2751

zbMATH Keywords

Hardy spacesFourier integral operatorsLebesgue spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (H^p)-spaces (42B30) Fourier integral operators applied to PDEs (35S30) Kernel operators (47B34)

Related Items (28)

A calculus of Fourier integral operators with inhomogeneous phase functions on \(\mathbf R^d\) ⋮ Global wave-front properties for Fourier integral operators and hyperbolic problems ⋮ Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on \(\mathbb R^n\) ⋮ Global Fourier integral operators in the plane and the square function ⋮ Boundedness of bi-parameter pseudo-differential operators on bi-parameter \(\alpha\)-modulation spaces ⋮ A local-to-global boundedness argument and Fourier integral operators ⋮ \(L^p\)-regularity of rough bi-parameter Fourier integral operators ⋮ On Fourier integral operators with Hölder-continuous phase ⋮ \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators ⋮ The generalized Kontorovich-Lebedev transform and associated operators ⋮ Unnamed Item ⋮ Fourier integral operators on \(L^p(\mathbb{R}^n)\) when \(2 < p \leq \infty\) ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ \(L^p\) boundedness of Fourier integral operators in the class \(S_{1,0}\) ⋮ On the global \(L^p\) boundedness of multilinear \(h\)-Fourier integral operators with rough amplitudes ⋮ On Temperate Distributions Decaying at Infinity ⋮ Unnamed Item ⋮ The global wave front set of tempered oscillatory integrals with inhomogeneous phase functions ⋮ Off-singularity bounds and Hardy spaces for Fourier integral operators ⋮ Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators ⋮ \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators ⋮ On the global Lp boundedness of a general class of h-Fourier integral operators ⋮ Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces ⋮ Periodic Fourier integral operators in \(L^p\)-spaces ⋮ Regularity of Fourier integral operators with amplitudes in general Hörmander classes ⋮ \(L^p\) boundedness of Fourier integral operators with rough symbols ⋮ Legendre functions, related Lebedev-Skalskaya transforms pairs and associated operators ⋮ Local Smoothing of Fourier Integral Operators and Hermite Functions

Cites Work

• On the global boundedness of Fourier integral operators
• \(L^ 2\) estimates for Fourier integral operators with complex phase
• On the boundedness of Fourier integral operators on \(L^p(\mathbb R^n)\)
• On the \(L^ 2 \)boundedness of Fourier integral operators in \(R^ n\).
• L\({}^ p\)-boundedness of pseudo-differential operators satisfying Besov estimates. I
• \(L^p\) estimates for the waves equation
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• Regularity properties of Fourier integral operators
• On some \(L^ p\)-estimates for hyperbolic equations
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• On the sharpness of Seeger-Sogge-Stein orders
• A smoothing property of Schrödinger equations in the critical case
• On the boundedness of pseudo-differential operators
• Fourier integral operators. I
• Weighted Sobolev L2 estimates for a class of Fourier integral operators
• Boundedness of Fourier Integral Operators on $\mathcal {F}L^p$ spaces
• Results on Weighted Norm Inequalities for Multipliers
• On the L 2 -Boundedness of Pseudo-Differential Operators
• Estimations l²precisees pour des integrales oscillantes
• Singularities of affine fibrations in the regularity theory of Fourier integral operators
• 𝐿^{𝑝} boundedness of Fourier integral operators
• The weak-type (1,1) of Fourier integral operators of order –(n–1)/2
• Global L ²-Boundedness Theorems for a Class of Fourier Integral Operators
• Fourier integral operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global $L^p$ continuity of Fourier integral operators