2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76819We show that the image of a 2-dimensional set under d-dimensional, 2-parameter Brownian sheet can have positive Lebesgue measure, if and only if the set in question has positive (d/2)-dimensional Bessel-Riesz capacity. Our methods solve a problem of J.-P. Kahane.19 pagesProbabilityFunctional Analysis60J45, 60G15text