Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid

DOI10.1007/s11854-015-0002-8zbMath1318.42009arXiv1108.6324OpenAlexW2050424531MaRDI QIDQ2352233

René Quilodrán

Publication date: 30 June 2015

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.6324

zbMATH Keywords

hyperboloidadjoint Fourier restriction inequalitiesnonexistence of extremizers

Mathematics Subject Classification ID

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

Related Items (16)

Optimal constants and extremisers for some smoothing estimates ⋮ Extremizers for the Airy-Strichartz inequality ⋮ Sharp mixed norm spherical restriction ⋮ Global restriction estimates for elliptic hyperboloids ⋮ On extremizers for Strichartz estimates for higher order Schrödinger equations ⋮ Some recent progress on sharp Fourier restriction theory ⋮ Some sharp null-form type estimates for the Klein-Gordon equation ⋮ The Stein-Tomas inequality under the effect of symmetries ⋮ A refinement of the Strichartz inequality for the wave equation with applications ⋮ Extremizers for Fourier restriction on hyperboloids ⋮ Extremizers for Fourier restriction inequalities: convex arcs ⋮ A comparison principle for convolution measures with applications ⋮ Bilinear identities involving thek-plane transform and Fourier extension operators ⋮ SOME SHARP BILINEAR SPACE–TIME ESTIMATES FOR THE WAVE EQUATION ⋮ Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case ⋮ A sharp Sobolev-Strichartz estimate for the wave equation

Cites Work

• A refinement of the Strichartz inequality for the wave equation with applications
• Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications
• Existence of maximizers for Sobolev-Strichartz inequalities
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Existence of extremals for a Fourier restriction inequality
• Restriction theorems and maximal operators related to oscillatory integrals in \(\mathbf R^3\)
• Maximizers for the Strichartz inequality
• A Sharp Inequality for the Strichartz Norm
• On extremizing sequences for the adjoint restriction inequality on the cone
• On the existence of maximizers for a family of restriction theorems
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