Restriction estimates for some surfaces with vanishing curvatures

DOI10.1016/j.jfa.2010.01.014zbMath1196.42011OpenAlexW1984591305MaRDI QIDQ971791

Sanghyuk Lee, Ana M. Vargas

Publication date: 17 May 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.01.014

zbMATH Keywords

restriction estimatesconic surfaceFourier transform estimatesurface of vanishing curvature

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15)

Related Items (18)

Optimal multilinear restriction estimates for a class of hypersurfaces with curvature ⋮ A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning ⋮ Square function estimates for the Bochner-Riesz means ⋮ Restriction inequalities for the hyperbolic hyperboloid ⋮ Mixed norm Strichartz-type estimates for hypersurfaces in three dimensions ⋮ Fourier restriction for smooth hyperbolic 2-surfaces ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ An endline bilinear cone restriction estimate for mixed norms ⋮ Linear and bilinear restriction to certain rotationally symmetric hypersurfaces ⋮ On the division problem for the wave maps equation ⋮ The optimal trilinear restriction estimate for a class of hypersurfaces with curvature ⋮ Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system ⋮ A Fourier restriction theorem for a two-dimensional surface of finite type ⋮ A Sobolev estimate for the adjoint restriction operator ⋮ Partitions of flat one-variate functions and a Fourier restriction theorem for related perturbations of the hyperbolic paraboloid ⋮ Multi-scale bilinear restriction estimates for general phases ⋮ Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case ⋮ On Fourier Restriction for Finite-Type Perturbations of the Hyperbolic Paraboloid

Cites Work

• 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 theorems for a surface with negative curvature
• A sharp bilinear cone restriction estimate
• A bilinear approach to cone multipliers. I: Restriction estimates
• A Note on the Cone Multiplier
• A bilinear approach to the restriction and Kakeya conjectures
• Endpoint estimates for the circular maximal function
• Bilinear restriction estimates for surfaces with curvatures of different signs
• A restriction theorem for the Fourier transform
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