Lorentz and Gale–Ryser theorems on general measure spaces

DOI10.1017/prm.2021.37zbMath1495.26025arXiv2103.04292OpenAlexW3188538156WikidataQ113858228 ScholiaQ113858228MaRDI QIDQ5094459

Santiago Boza, Martin Křepela, Javier Soria

Publication date: 3 August 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04292

zbMATH Keywords

cross-sectionsnonincreasing rearrangementHardy-Littlewood-Pólya relation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Measures and integrals in product spaces (28A35)

Cites Work

• Unnamed Item
• A theorem on flows in networks
• Measure preserving transformations and rearrangements
• Combinatorial Properties of Matrices of Zeros and Ones
• Seven criteria for integer sequences being graphic
• A Simple Proof of the Gale-Ryser Theorem
• A Problem of Plane Measure

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