New bounds on Kakeya problems

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We establish new estimates on the Minkowski and Hausdorff dimensions of Besicovitch sets and obtain new bounds on the Kakeya maximal operator.
24 pages, 5 figures, submitted, Journal d'Analyse de Jerusalem

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Classical Analysis and ODEs, Combinatorics, 0B540, 28A78

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http://salesiana.dossiersoluciones.com/handle/123456789/60960

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102135
 http://arxiv.org/abs/math/0102135

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arXiv