2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137375For a general set transformation ${\cal R}$ between two measure spaces, we define the rearrangement of a measurable function by means of the Layer's cake formula. We study some functional properties of the Lorentz spaces defined in terms of ${\cal R}$, giving a unified approach to the classical rearrangement, Steiner's symmetrization, the multidimensional case, and the discrete setting of trees.17 pagesFunctional Analysis46E30, 46B42text