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arxiv: 1507.02515 · v1 · pith:4JJPCANWnew · submitted 2015-07-09 · 🧮 math.CA

A Remark on reverse Littlewood-Paley, restriction and Kakeya

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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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