A recursive bound for a Kakeya-type maximal operator

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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.
15 pages, no figures

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Classical Analysis and ODEs, 42B25

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http://salesiana.dossiersoluciones.com/handle/123456789/105095

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511646
 http://arxiv.org/abs/math/0511646

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arXiv