Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 074-01. The Kakeya maximal conjecture in three dimensions
Manuscript map · lines 3935–3944
OpenAI@2026-10-07#rem:oai-p-074-01
Authors: OpenAI. Family 074.
Title: The Kakeya maximal conjecture in three dimensions.
Abstract: We prove the Kakeya maximal conjecture in three dimensions. For every ε > 0, the maximal average over unit tubes of radius δ maps $L{}3({}mathbb R{}3)$ to $L{}3(S{}2)$ with norm at most $C_{}varepsilon{}delta{}{-{}varepsilon}$.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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