2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60960We 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 JerusalemClassical Analysis and ODEsCombinatorics0B540, 28A78New bounds on Kakeya problemstext