A restriction estimate in \(\mathbb{R}^3\) using brooms

DOI10.1215/00127094-2021-0064zbMath1492.42007arXiv1802.04312OpenAlexW4225939254MaRDI QIDQ2671477

Hong Wang

Publication date: 3 June 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04312

zbMATH Keywords

Fourier transformwave packetsextensionrestrictionpolynomial partitioningtruncated paraboloidtwo ends argument

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (12)

Restriction estimates for hyperbolic cone in high dimensions ⋮ A note on local smoothing estimates for fractional Schrödinger equations ⋮ Mizohata–Takeuchi estimates in the plane ⋮ Fourier restriction for smooth hyperbolic 2-surfaces ⋮ A restriction estimate for surfaces with negative Gaussian curvatures ⋮ Fourier restriction estimates on quantum Euclidean spaces ⋮ Factorization in Fourier restriction theory and near extremizers ⋮ Improved weighted restriction estimates in \(\mathbb{R}^3\) ⋮ Unnamed Item ⋮ Extremizability of Fourier restriction to the paraboloid ⋮ A type of oscillatory integral operator and its applications ⋮ Restriction estimates for the flat disks over finite fields

Cites Work

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• A sharp bilinear restriction estimate for paraboloids
• Restriction estimates using polynomial partitioning. II
• A sharp bilinear cone restriction estimate
• A sharp square function estimate for the cone in \(\mathbb{R}^3\)
• Improved Fourier restriction estimates in higher dimensions
• Inequalities for strongly singular convolution operators
• A restriction estimate using polynomial partitioning
• Differential Topology
• On Fourier coefficients and transforms of functions of two variables
• On the Betti Numbers of Real Varieties
• Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates

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