Lorentz and Gale-Ryser theorems on general measure spaces
dc.contributor.author | Boza, Santiago | |
dc.contributor.author | Křepela, Martin | |
dc.contributor.author | Soria de Diego, Francisco Javier | |
dc.date.accessioned | 2024-03-04T11:39:11Z | |
dc.date.available | 2024-03-04T11:39:11Z | |
dc.date.issued | 2022-01-01 | |
dc.description.abstract | 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 its cross-sections, and extend it to general measure spaces. | |
dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.status | pub | |
dc.identifier.doi | 10.1017/prm.2021.37 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/101901 | |
dc.issue.number | 4 | |
dc.journal.title | Proceedings of the Royal Society of Edinburgh Section A: Mathematics | |
dc.language.iso | eng | |
dc.publisher | Cambridge University Press | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | en |
dc.rights.accessRights | open access | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject.keyword | Cross-sections | |
dc.subject.keyword | Nonincreasing rearrangement | |
dc.subject.keyword | Hardy-Littlewood-Póya relation | |
dc.subject.ucm | Análisis funcional y teoría de operadores | |
dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
dc.title | Lorentz and Gale-Ryser theorems on general measure spaces | |
dc.type | journal article | |
dc.volume.number | 152 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | b2108ca5-2270-4783-9661-46cd65b31fc3 | |
relation.isAuthorOfPublication.latestForDiscovery | b2108ca5-2270-4783-9661-46cd65b31fc3 |
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