Restriction for homogeneous polynomial surfaces in $\mathbb {R}^3$

DOI10.1090/S0002-9947-2012-05685-6zbMath1273.42008arXiv1108.4123OpenAlexW1951579786MaRDI QIDQ2838069

Carlos E. Kenig, Anthony Carbery, Sarah Ziesler

Publication date: 8 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4123

zbMATH Keywords

homogeneous polynomialFourier restrictionLittlewood-Paley theoremvanishing Gaussian curvature

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis in several variables (42B99) Surfaces in Euclidean and related spaces (53A05)

Related Items (12)

Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons ⋮ Decoupling for mixed-homogeneous polynomials in \({\mathbb{R}}^3\) ⋮ Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\) ⋮ Strichartz estimates for mixed homogeneous surfaces in three dimensions ⋮ Higher dimensional generalization of the Benjamin‐Ono equation: 2D case ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation ⋮ Linear and bilinear restriction to certain rotationally symmetric hypersurfaces ⋮ Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. ⋮ Polynomial growth of high Sobolev norms of solutions to the Zakharov-Kuznetsov equation ⋮ Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications ⋮ Well-posedness and ill-posedness results for the Novikov-Veselov equation

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• Fourier multipliers and estimates of the Fourier transform of measures carried by smooth curves in R²
• On the Betti Numbers of Real Varieties
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