Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case
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Publication:4994369
DOI10.1512/iumj.2021.70.8323zbMath1466.42006arXiv1809.05698OpenAlexW3159478271MaRDI QIDQ4994369
Betsy Stovall, Diogo Oliveira e Silva, Mateus Sousa, Emanuel Carneiro
Publication date: 17 June 2021
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05698
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
Related Items (6)
Global restriction estimates for elliptic hyperboloids ⋮ Restriction inequalities for the hyperbolic hyperboloid ⋮ Some sharp null-form type estimates for the Klein-Gordon equation ⋮ The Stein-Tomas inequality under the effect of symmetries ⋮ Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates ⋮ Maximisers for Strichartz inequalities on the torus
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
- Restriction estimates for some surfaces with vanishing curvatures
- A sharp bilinear restriction estimate for paraboloids
- Extremizers for the Airy-Strichartz inequality
- Extremizers for Fourier restriction on hyperboloids
- A sharp bilinear cone restriction estimate
- Multi-scale bilinear restriction estimates for general phases
- Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid
- Scattering for the cubic Klein–Gordon equation in two space dimensions
- Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation
- A bilinear approach to the restriction and Kakeya conjectures
- On the existence of maximizers for a family of restriction theorems
- A restriction theorem for the Fourier transform
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