Finite field restriction estimates based on Kakeya maximal operator estimates

DOI10.4171/JEMS/910zbMath1429.42009arXiv1401.8011MaRDI QIDQ2279502

Mark Lewko

Publication date: 12 December 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.8011

zbMATH Keywords

Fourier transformfinite fieldsrestriction conjectureKakeya conjecture

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Finite ground fields in algebraic geometry (14G15) Other character sums and Gauss sums (11T24) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (10)

On multiplicative energy of subsets of varieties ⋮ New restriction estimates for the 3-d paraboloid over finite fields ⋮ Weak version of restriction estimates for spheres and paraboloids in finite fields ⋮ On the Sums of Any $k$ Points in Finite Fields ⋮ Conjecture and improved extension theorems for paraboloids in the finite field setting ⋮ Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields ⋮ Counting rectangles and an improved restriction estimate for the paraboloid in $F_p^3$ ⋮ Finite field restriction estimates for the paraboloid in high even dimensions ⋮ AN EXPLICIT TWO‐SOURCE EXTRACTOR WITH MIN‐ENTROPY RATE NEAR ⋮ Restriction estimates for the flat disks over finite fields

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