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Some remarks on level functions and their applications
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. (Mathematical Science)ORCID iD: 0000-0002-9584-4083
Adam Mickiewicz University, Poznan, Poland.
Poznan University of Technology, Poland.
Number of Authors: 3
2016 (English)In: Commentationes Mathematicae, ISSN 2080-1211, Vol. 56, no 1, 55-86 p.Article in journal (Refereed) Published
Abstract [en]

Comparison of level functions considered by Halperin and Sinnamon is discussed. Moreover, connections between Lorentz-type spaces, down spaces, Ces{\`a}ro spaces and Sawyer's duality formula are explained. Applying the ideas of Sinnamon, we prove the duality theorem for Orlicz-Lorentz spaces, which generalizes the recent result of Kami\'nska, Le\'snik and Raynaud (and Nakamura).  Finally, some applications of level functions to geometry of Orlicz-Lorentz spaces are also presented.

Place, publisher, year, edition, pages
Poznan, 2016. Vol. 56, no 1, 55-86 p.
Keyword [en]
46E30; 46B20; 46B42
National Category
Natural Sciences Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-60340DOI: 10.14708/cm.v56i1.1142OAI: oai:DiVA.org:ltu-60340DiVA: diva2:1046096
Available from: 2016-11-11 Created: 2016-11-11 Last updated: 2016-11-23Bibliographically approved

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