An improved bilinear restriction estimate for the paraboloid in \(\mathbb{R}^3\)

DOI10.1007/s00209-023-03237-2OpenAlexW3153146520MaRDI QIDQ2690133

Changkeun Oh

Publication date: 15 March 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06755

zbMATH Keywords

extension operatorbilinear restriction estimaterestriction theory

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Unnamed Item
• Bounds on oscillatory integral operators based on multilinear estimates
• Volumes of tubular neighbourhoods of real algebraic varieties
• A sharp bilinear restriction estimate for paraboloids
• Restriction estimates using polynomial partitioning. II
• On the polynomial Wolff axioms
• A sharp bilinear cone restriction estimate
• A bilinear approach to cone multipliers. I: Restriction estimates
• The multilinear restriction estimate: almost optimality and localization
• New Kakeya estimates using Gromov's algebraic lemma
• Improved Fourier restriction estimates in higher dimensions
• A discretized Severi-type theorem with applications to harmonic analysis
• A restriction estimate using polynomial partitioning
• A bilinear approach to the restriction and Kakeya conjectures
• On the number of cells defined by a family of polynomials on a variety
• The Almost Optimal Multilinear Restriction Estimate for Hypersurfaces with Curvature: The Case ofn-1Hypersurfaces in ℝn
• Classical Fourier Analysis
• Weighted restriction estimates using polynomial partitioning
• Bilinear restriction estimates for surfaces with curvatures of different signs

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