A recursive bound for a Kakeya-type maximal operator
Classical Analysis and ODEs
2007-05-23 v1
Abstract
A (d,k) set is a subset of R^d containing a translate of every k-dimensional plane. Bourgain showed that for 2^{k-1}+k \geq d, every (d,k) set has positive Lebesgue measure. We give an L^p bound for the corresponding maximal operator.
Keywords
Cite
@article{arxiv.math/0511646,
title = {A recursive bound for a Kakeya-type maximal operator},
author = {Richard Oberlin},
journal= {arXiv preprint arXiv:math/0511646},
year = {2007}
}
Comments
15 pages, no figures