THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS

DOI10.1112/S0025579309000400zbMath1189.42010arXiv0903.1879OpenAlexW3100507412WikidataQ104532665 ScholiaQ104532665MaRDI QIDQ3406651

Jordan S. Ellenberg, Richard Oberlin, Terence C. Tao

Publication date: 19 February 2010

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1879

zbMATH Keywords

Kakeya setKakeya maximal functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

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Cites Work

• On limits of sequences of operators
• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• Besicovitch type maximal operators and applications to Fourier analysis
• Restriction and Kakeya phenomena for finite fields
• The Bochner-Riesz conjecture implies the restriction conjecture
• On Singular Integrals