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Inequalities and properties of some generalized Orlicz classes and spaces
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied mathematics.
2007 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 117, no 1-2, 161-174 p.Article in journal (Refereed) Published
Abstract [en]

We discuss and complement the knowledge about generalized Orlicz classes and Orlicz spaces X Φ obtained by replacing the space L 1 in the classical construction by an arbitrary Banach function space X. Our main aim is to focus on the task to study inequalities in such spaces. We prove a number of new inequalities and also natural generalizations of some classical ones (e.g., Minkowski’s, Hölder’s and Young’s inequalities). Moreover, a number of other basic facts for further study of inequalities and function spaces are included.

Place, publisher, year, edition, pages
2007. Vol. 117, no 1-2, 161-174 p.
Keyword [en]
inequalities, function spaces, Orlicz class, Orlicz space, Luxemburg norm, Banach function space, Young function, Young’s inequality, Minkowski’s inequality, Hölder’s inequality
National Category
URN: urn:nbn:se:uu:diva-14158DOI: 10.1007/s10474-007-6083-9OAI: oai:DiVA.org:uu-14158DiVA: diva2:41928
Available from: 2008-01-29 Created: 2008-01-29 Last updated: 2010-05-17Bibliographically approved

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Persson, Lars-Erik
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Applied mathematics
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