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S-divisibility property and a Holmstedt type formula
Departamento de Matemàtica, Aplicada i Anàlisi, Universitat de Barcelona.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1999 (English)In: Journal of Approximation Theory, ISSN 0021-9045, E-ISSN 1096-0430, Vol. 98, no 1, p. 1-24Article in journal (Refereed) Published
Abstract [en]

Given a conePof positive functions and an operatorS: →Pwith an additive group, we extend the concept ofK-divisibility to get some new formulas for theK-functional of finite families of lattices. Applications are given in the setting of rearrangement invariant spaces and weighted Lorentz spaces. As a consequence of our results, we also obtain a generalized Holmstedt formula due to Asekritova

Place, publisher, year, edition, pages
1999. Vol. 98, no 1, p. 1-24
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-4835DOI: 10.1006/jath.1998.3274ISI: 000080011400001Local ID: 2d370400-7f90-11db-8824-000ea68e967bOAI: oai:DiVA.org:ltu-4835DiVA, id: diva2:977709
Note
Godkänd; 1999; 20061129 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Ericsson, StefanPersson, Lars-Erik

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