# An improved bound for Kakeya type maximal functions

@inproceedings{Wol1995AnIB,
title={An improved bound for Kakeya type maximal functions},
author={Thomas H. Wol},
year={1995}
}
• T. Wol
• Published 1995
• Mathematics
165 Citations
We record work done by the author [29] on the Kakeya-Nikodym problems, and we also record the joint work done by the author and Cheng Zhang [30] on improved geodesic restriction estimates for
We discuss a planar variant of the Kakeya maximal function in the setting of a vector space over a finite field. Using methods from incidence combinatorics, we demonstrate that the operator is
We prove that recent breaking by Zahl of the $\frac32$ barrier in Wolff's estimate on the Kakeya maximal operator in $\mathbb R^4$ leads to improving the $\frac{14}{5}$ threshold for the restriction
• Computer Science
Journal of the American Mathematical Society
• 2018
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