2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105095A (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 figuresClassical Analysis and ODEs42B25text