New bounds on Kakeya problems

Abstract

We establish new estimates on the Minkowski and Hausdorff dimensions of Besicovitch sets and obtain new bounds on the Kakeya maximal operator.

24 pages, 5 figures, submitted, Journal d'Analyse de Jerusalem

References in corpus (1)

• An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension

Cited by in corpus (1)

• A recursive bound for a Kakeya-type maximal operator