New multiscale polynomial Wolff axioms lead to Kakeya maximal estimates for p ≥ 1 + O(1/n), improving prior bounds in dimensions n=5 and n≥7.
Bourgain, Besicovitch-type maximal operators and applications to Fo urier analysis, Geom
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Improved bounds for the Kakeya maximal conjecture in higher dimensions
New multiscale polynomial Wolff axioms lead to Kakeya maximal estimates for p ≥ 1 + O(1/n), improving prior bounds in dimensions n=5 and n≥7.