Maximizers for the Stein-Tomas inequality

DOI10.1007/S00039-016-0380-9zbMath1357.42023arXiv1603.07658OpenAlexW2964135802MaRDI QIDQ343519

Elliott H. Lieb, Julien Sabin, Rupert L. Frank

Publication date: 28 November 2016

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07658

zbMATH Keywords

restrictioninverse Fourier transformmaximizerStrichartz inequalityprecompactnessmethod of the missing massoptimizing sequenceStein-Tomas inequality

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (21)

Existence of extremizers for Fourier restriction to the moment curve ⋮ Extremizers for the Airy-Strichartz inequality ⋮ Extremizers for adjoint restriction to pairs of translated paraboloids ⋮ On Symmetry and Uniqueness of Ground States for Linear and Nonlinear Elliptic PDEs ⋮ On extremizers for Strichartz estimates for higher order Schrödinger equations ⋮ Some recent progress on sharp Fourier restriction theory ⋮ The Stein-Tomas inequality under the effect of symmetries ⋮ Extremals for \(\alpha\)-Strichartz inequalities ⋮ Extremizers for adjoint restriction to a pair of reflected paraboloids ⋮ The work of Elliott Lieb ⋮ Lieb-Thirring inequalities and other functional inequalities for orthonormal systems ⋮ Extremizers for Fourier restriction on hyperboloids ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ Optimizers of the Sobolev and Gagliardo-Nirenberg inequalities in \(\dot{W}^{s,p} \) ⋮ On a conformally invariant integral equation involving Poisson kernel ⋮ Minimizers for the fractional Sobolev inequality on domains ⋮ Extremizability of Fourier restriction to the paraboloid ⋮ Smoothness of solutions of a convolution equation of restricted type on the sphere ⋮ Sharp Strichartz inequalities for fractional and higher-order Schrödinger equations ⋮ Unnamed Item ⋮ Maximisers for Strichartz inequalities on the torus

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