Extremizers for adjoint restriction to pairs of translated paraboloids

DOI10.1016/j.jmaa.2022.126208zbMath1487.42021arXiv2111.10643OpenAlexW3217789398MaRDI QIDQ2134422

James Tautges

Publication date: 3 May 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10643

zbMATH Keywords

paraboloidsharp Fourier restriction

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities for sums, series and integrals (26D15)

Cites Work

• Unnamed Item
• Maximizers for the Stein-Tomas inequality
• Some recent progress on sharp Fourier restriction theory
• Existence of extremals for a Fourier restriction inequality
• Extremizability of Fourier restriction to the paraboloid
• Maximizers for the Strichartz inequality
• Global maximizers for the sphere adjoint Fourier restriction inequality
• Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schr\"odinger equation
• Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids