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Multidimensional rearrangement and Lorentz spaces
Department of Mathematics, Physics and Engineering Sciences, Karlstad University.
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Department of Applied Mathematics and Analysis, University of Barcelona.
2004 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 104, no 3, p. 203-224Article in journal (Refereed) Published
Abstract [en]

We define a multidimensional rearrangement, which is related to classical inequalities for functions that are monotone in each variable. We prove the main measure theoretical results of the new theory and characterize the functional properties of the associated weighted Lorentz spaces.

Place, publisher, year, edition, pages
2004. Vol. 104, no 3, p. 203-224
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-13705DOI: 10.1023/B:AMHU.0000036283.75990.a2ISI: 000223654900002Scopus ID: 2-s2.0-4043125280Local ID: cfcc1970-a647-11db-9811-000ea68e967bOAI: oai:DiVA.org:ltu-13705DiVA, id: diva2:986658
Note
Validerad; 2004; 20061107 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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