On the global boundedness of Fourier integral operators
From MaRDI portal
Publication:605053
DOI10.1007/s10455-010-9219-zzbMath1200.35347arXiv0804.3928OpenAlexW2083851188MaRDI QIDQ605053
Elena Cordero, Fabio Nicola, Luigi Rodino
Publication date: 23 November 2010
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.3928
General harmonic expansions, frames (42C15) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)
Related Items (29)
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 \(\mathbb R^n\) ⋮ \(L^p\)-regularity of rough bi-parameter Fourier integral operators ⋮ On Fourier integral operators with Hölder-continuous phase ⋮ Random-field solutions of weakly hyperbolic stochastic partial differential equations with polynomially bounded coefficients ⋮ Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators ⋮ Gabor representations of evolution operators ⋮ An \(L^q\rightarrow L^r\) estimate for rough Fourier integral operators and its applications ⋮ \(L^2\) boundedness of the Fourier integral operator with inhomogeneous phase functions ⋮ \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ Global \(L^p\)-boundedness of rough Fourier integral operators ⋮ Fourier integral operators on \(L^p(\mathbb{R}^n)\) when \(2 < p \leq \infty\) ⋮ On the global \(L^p\) boundedness of multilinear \(h\)-Fourier integral operators with rough amplitudes ⋮ The global wave front set of tempered oscillatory integrals with inhomogeneous phase functions ⋮ Global $L^p$ continuity of Fourier integral operators ⋮ Solutions of hyperbolic stochastic PDEs on bounded and unbounded domains ⋮ Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators ⋮ \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators ⋮ \(L^p\)-estimates for rough bi-parameter Fourier integral operators ⋮ On the global Lp boundedness of a general class of h-Fourier integral operators ⋮ Solution theory to semilinear hyperbolic stochastic partial differential equations with polynomially bounded coefficients ⋮ Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces ⋮ Global and local regularity of Fourier integral operators on weighted and unweighted spaces ⋮ Regularity of Fourier integral operators with amplitudes in general Hörmander classes ⋮ \(L^p\) boundedness of Fourier integral operators with rough symbols ⋮ Global \(L^2\)-boundedness of a new class of rough Fourier integral operators ⋮ Characterizations of some properties on weighted modulation and Wiener amalgam spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Banach spaces related to integrable group representations and their atomic decompositions. II
- Unimodular Fourier multipliers for modulation spaces
- Time-frequency analysis of Fourier integral operators
- A Beurling-Helson type theorem for modulation spaces
- Schatten--von Neumann properties for Fourier integral operators with non-smooth symbols. I
- Regularity properties of Fourier integral operators
- Operatori pseudo-differenziali in R\(^n\) e applicazioni
- On the sharpness of Seeger-Sogge-Stein orders
- \(C^ 1\) change of variable: Beurling-Helson type theorem and Hörmander conjecture on Fourier multipliers
- Gabor frames and time-frequency analysis of distributions
- The Newton polyhedron and oscillatory integral operators
- Foundations of time-frequency analysis
- Atomic characterizations of modulation spaces through Gabor-type representations
- Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
- The dilation property of modulation spaces and their inclusion relation with Besov spaces
- Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation
- Precisely predictable Dirac observables
- Fourier integral operators. I
- Fourier integral operators of infinite order and applications to SG-hyperbolic equations
- The uncertainty principle
- Generalized Amalgams, With Applications to Fourier Transform
- Boundedness of Fourier Integral Operators on $\mathcal {F}L^p$ spaces
- Harmonic Analysis in Phase Space. (AM-122)
- Wiener’s lemma for twisted convolution and Gabor frames
- Singularities of affine fibrations in the regularity theory of Fourier integral operators
- Fourier Integral Operators Defined by Classical Symbols with Exit Behaviour
- SHARPNESS OF SOME PROPERTIES OF WIENER AMALGAM AND MODULATION SPACES
- Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators
- A theorem on functions defined on a semi-group
This page was built for publication: On the global boundedness of Fourier integral operators