Boza, SantiagoKřepela, MartinSoria de Diego, Francisco Javier2023-06-222023-06-222022-08-090308-210510.1017/prm.2021.37https://hdl.handle.net/20.500.14352/71974Based on the Gale–Ryser theorem [2, 6], for the existence of suitable (0,1) -matrices for different partitions of a natural number, we revisit the classical result of Lorentz [4] regarding the characterization of a plane measurable set, in terms of its cross-sections, and extend it to general measure spaces.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.1017/prm.2021.37open access51Cross sectionsNonincreasing rearrangementHardy-Littlewood-Pólya relation.Matemáticas (Matemáticas)12 Matemáticas