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A Remark on reverse Littlewood-Paley, restriction and Kakeya

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arxiv 1507.02515 v1 pith:4JJPCANW submitted 2015-07-09 math.CA

Anthony Carbery This is my paper · ORCID
classification math.CA
keywords kakeyarestrictionreversebochner-rieszcertainconjecturedfourierfunction
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We show that a certain conjectured optimal reverse Littlewood- Paley inequality would, if true, imply sharp results for the Kakeya maximal function, the Bochner-Riesz means and the Fourier restriction operator.

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  1. A construction of Kakeya Sets in Arbitrary Dimension

    math.CA 2026-07 conditional novelty 6.0 of 10

    For every d≥2, there exist Kakeya sets whose δ-neighborhood volume is O(|log δ|^{-(d-1)}), improving all prior constructions.

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