A recursive bound for a Kakeya-type maximal operator

Details A recursive bound for a Kakeya-type maximal operator A recursive bound for a Kakeya-type maximal operator

2005-11-26

arxiv.org/abs/math/0511646v1

Mathematics

Classical Analysis and ODEs

15 pages, no figures

Scientific paper

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.

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