Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres

DOI10.1016/j.jfa.2020.108825zbMath1458.35011arXiv1909.10230OpenAlexW3095872757MaRDI QIDQ2225250

René Quilodrán, Diogo Oliveira e Silva

Publication date: 5 February 2021

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

Full work available at URL: https://arxiv.org/abs/1909.10230

zbMATH Keywords

Bessel integralsTomas-Stein inequalityconvolution of singular measuressharp Fourier restriction theory

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Eigenvalue problems for integral equations (45C05) Inequalities and extremum problems in real or complex geometry (51M16) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Harmonic analysis and PDEs (42B37)

Related Items (6)

Intermittent symmetry breaking and stability of the sharp Agmon–Hörmander estimate on the sphere ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ Extremals for \(\alpha\)-Strichartz inequalities ⋮ Extremizers for adjoint restriction to a pair of reflected paraboloids ⋮ Smoothness of solutions of a convolution equation of restricted type on the sphere ⋮ Maximisers for Strichartz inequalities on the torus

Uses Software

• Matlab
• QUADPACK
• DLMF
• BESSELINT
• Algorithm 858

Cites Work

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