On existence of extremizers for the Tomas-Stein inequality for \(S^{1}\)

DOI10.1016/j.jfa.2016.02.019zbMath1339.42011arXiv1507.04302OpenAlexW2963736178MaRDI QIDQ265908

Shuanglin Shao

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04302

zbMATH Keywords

extremizersadjoint Fourier restriction inequalities

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (13)

Extremizers for the Airy-Strichartz inequality ⋮ Sharp mixed norm spherical restriction ⋮ Band-Limited Maximizers for a Fourier Extension Inequality on the Circle ⋮ Some recent progress on sharp Fourier restriction theory ⋮ The Stein-Tomas inequality under the effect of symmetries ⋮ Extremals for \(\alpha\)-Strichartz inequalities ⋮ Sharp Fourier extension on the circle under arithmetic constraints ⋮ Extremizers for adjoint restriction to a pair of reflected paraboloids ⋮ Extremizers for Fourier restriction on hyperboloids ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ Smoothness of solutions of a convolution equation of restricted type on the sphere ⋮ Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations ⋮ Maximisers for Strichartz inequalities on the torus

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