TY - JOUR AU - Boza, Santiago AU - Křepela, Martin AU - Soria de Diego, Francisco Javier PY - 2022 DO - 10.1017/prm.2021.37 SN - 0308-2105 UR - https://hdl.handle.net/20.500.14352/71974 T2 - Proceedings of the Royal Society of Edinburgh: Section A Mathematics AB - Based 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... LA - eng M2 - 857 PB - https://www.cambridge.org/core/ KW - Cross sections KW - Nonincreasing rearrangement KW - Hardy-Littlewood-Pólya relation. TI - Lorentz and Gale–Ryser theorems on general measure spaces TY - journal article VL - 152 ER -