New bounds on Kakeya problems

Details New bounds on Kakeya problems New bounds on Kakeya problems

2001-02-16

arxiv.org/abs/math/0102135v1

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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

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