Weighted restriction estimates using polynomial partitioning
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Publication:5362967
DOI10.1112/PLMS.12046zbMath1388.42020arXiv1512.03238OpenAlexW2290942331MaRDI QIDQ5362967
Publication date: 5 October 2017
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.03238
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Length, area, volume, other geometric measure theory (28A75)
Related Items (9)
A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning ⋮ Square function estimates for the Bochner-Riesz means ⋮ Mizohata–Takeuchi estimates in the plane ⋮ A restriction estimate for surfaces with negative Gaussian curvatures ⋮ Improved weighted restriction estimates in \(\mathbb{R}^3\) ⋮ An improved bilinear restriction estimate for the paraboloid in \(\mathbb{R}^3\) ⋮ A family of fractal Fourier restriction estimates with implications on the Kakeya problem ⋮ Extremizability of Fourier restriction to the paraboloid ⋮ Fourier restriction in low fractal dimensions
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