New bounds on Kakeya problems
Classical Analysis and ODEs
2007-05-23 v1 Combinatorics
Abstract
We establish new estimates on the Minkowski and Hausdorff dimensions of Besicovitch sets and obtain new bounds on the Kakeya maximal operator.
Cite
@article{arxiv.math/0102135,
title = {New bounds on Kakeya problems},
author = {Nets Katz and Terence Tao},
journal= {arXiv preprint arXiv:math/0102135},
year = {2007}
}
Comments
24 pages, 5 figures, submitted, Journal d'Analyse de Jerusalem