A geometric inequality with applications to the Kakeya problem in three dimensions

DOI10.1007/S000390050068zbMath0939.42012OpenAlexW2021127991MaRDI QIDQ1266186

Wilhelm Schlag

Publication date: 3 July 2000

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000390050068

zbMATH Keywords

Hausdorff dimensionKakeya maximal functionBesicovitch sets

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (5)

Mapping properties of the elliptic maximal function. ⋮ Algebraic methods in discrete analogs of the Kakeya problem ⋮ On the Erdős distinct distances problem in the plane ⋮ Unnamed Item ⋮ A bilinear approach to the restriction and Kakeya conjectures

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