A recursive bound for a Kakeya-type maximal operator

Richard Oberlin

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A recursive bound for a Kakeya-type maximal operator

Richard Oberlin

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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.

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BibTeX RIS

Richard Oberlin. 2005-11-26. A recursive bound for a Kakeya-type maximal operator. https://arxiv.org/abs/math/0511646

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