Sharp Local Smoothing Estimates for Fourier Integral Operators
From MaRDI portal
Publication:5016421
DOI10.1007/978-3-030-72058-2_2zbMath1494.42013arXiv1812.11616OpenAlexW2908167358MaRDI QIDQ5016421
Christopher D. Sogge, David Beltran, Jonathan Hickman
Publication date: 13 December 2021
Published in: Geometric Aspects of Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11616
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis and PDEs (42B37)
Related Items
Sharp \(L^p\) estimates for oscillatory integral operators of arbitrary signature, The circular maximal operator on Heisenberg radial functions, Square function estimates and local smoothing for Fourier integral operators, Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions, Improved local smoothing estimate for the wave equation in higher dimensions, Local smoothing and Hardy spaces for Fourier integral operators on manifolds, Maximal polynomial modulations of singular integrals, Local smoothing and Hardy spaces for Fourier integral operators
Cites Work
- On the cone multiplier in \(\mathbb R^3\)
- A study guide for the \(l^{2}\) decoupling theorem
- Radial Fourier multipliers in high dimensions
- Averages in the plane over convex curves and maximal operators
- Bounds on oscillatory integral operators based on multilinear estimates
- Asymptotic solutions of oscillatory initial value problems
- Kakeya sets of curves
- On the multilinear restriction and Kakeya conjectures
- Linear and bilinear estimates for oscillatory integral operators related to restriction to hypersurfaces
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Hilbert integrals, singular integrals, and Radon transforms. I
- Regularity of solutions to the Schrödinger equation
- \(L^p\) estimates for the waves equation
- Propagation of singularities and maximal functions in the plane
- Regularity properties of Fourier integral operators
- \(L^ p\)-estimates for oscillatory integrals in several variables
- Wave front sets, local smoothing and Bourgain's circular maximal theorem
- Negative results for Nikodym maximal functions and related oscillatory integrals in curved space
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- A local smoothing estimate in higher dimensions.
- Local smoothing type estimates on \(L^p\) for large \(p\)
- Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
- On instability of the Nikodym maximal function bounds over Riemannian manifolds
- Regularity of fractional maximal functions through Fourier multipliers
- A sharp bilinear cone restriction estimate
- The Bochner-Riesz conjecture implies the restriction conjecture
- A bilinear approach to cone multipliers. II: Applications
- Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem
- Sharp estimates for oscillatory integral operators via polynomial partitioning
- Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds
- The proof of the \(l^2\) decoupling conjecture
- The spectral function of an elliptic operator
- Fourier integral operators. I
- Fourier integral operators. II
- The multiplier problem for the ball
- Oscillatory integrals and multipliers on FL\(^p\)
- Fourier Integrals in Classical Analysis
- Eigenfunctions of the Laplacian on a Riemannian Manifold
- On plate decompositions of cone multipliers
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- Local Smoothing Properties of Dispersive Equations
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- Maximal functions: Spherical means
- Lebesgue space estimates for a class of Fourier integral operators associated with wave propagation
- Maximal operators and Hilbert transforms along variable non‐flat homogeneous curves
- Hangzhou Lectures on Eigenfunctions of the Laplacian
- Oscillatory integrals and multiplier problem for the disc
- Fourier integral operators
- Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates
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