On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid
From MaRDI portal
Publication:5016424
DOI10.1007/978-3-030-72058-2_5zbMath1479.42027arXiv1902.05442OpenAlexW3203209160MaRDI QIDQ5016424
No author found.
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/1902.05442
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Transform methods (e.g., integral transforms) applied to PDEs (35A22)
Related Items (5)
Sharp \(L^p\) estimates for oscillatory integral operators of arbitrary signature ⋮ A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning ⋮ Fourier restriction for smooth hyperbolic 2-surfaces ⋮ A restriction estimate for surfaces with negative Gaussian curvatures ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fourier restriction theorem for a two-dimensional surface of finite type
- Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis
- Bounds on oscillatory integral operators based on multilinear estimates
- Uniform estimates for the Fourier transform of surface carried measures in \(\mathbb R^{3}\) and an application to Fourier restriction
- Restriction estimates for some surfaces with vanishing curvatures
- Besicovitch type maximal operators and applications to Fourier analysis
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- A sharp bilinear restriction estimate for paraboloids
- Restriction estimates using polynomial partitioning. II
- Scale-invariant Fourier restriction to a hyperbolic surface
- Restriction theorems for a surface with negative curvature
- A sharp bilinear cone restriction estimate
- Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
- A bilinear approach to cone multipliers. I: Restriction estimates
- A bilinear approach to cone multipliers. II: Applications
- Multi-scale bilinear restriction estimates for general phases
- Improved restriction estimate for hyperbolic surfaces in \(\mathbb{R}^3\)
- On mappings, conformal at the boundary
- A restriction estimate using polynomial partitioning
- Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)
- Linear and bilinear restriction to certain rotationally symmetric hypersurfaces
- A bilinear approach to the restriction and Kakeya conjectures
- Optimal Bilinear Restriction Estimates for General Hypersurfaces and the Role of the Shape Operator
- A Fourier restriction theorem for a perturbed hyperbolic paraboloid
- Bilinear restriction estimates for surfaces with curvatures of different signs
- Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates
- A restriction theorem for the Fourier transform
This page was built for publication: On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid
