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Optimal estimates in lorentz spaces of sequences with an increasing weight
Karlstad University, Department of Mathematics, Sweden.
Technical University of Civil Engineering Bucharest, Department of Mathematics and Computer Science, Romania.
Karlstad University, Department of Mathematics, Sweden.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. Narvik University College, P.O. BOX 385, Norway.
2013 (English)In: Proceedings of the Romanian Academy: Series A, Mathematics, Physics, Technical Sciences, Information Science, ISSN 1454-9069, Vol. 14, no 1, p. 20-27Article in journal (Refereed) Published
Abstract [en]

We study the weighted Lorentz spaces of sequences to find optimal estimates between different equivalent quasi-norms. We also obtain the best constant in the triangle inequality.
Place, publisher, year, edition, pages
2013. Vol. 14, no 1, p. 20-27
Keywords [en]
Decomposition norm, Dual norm, Equivalent norms, Maximal norm, Normability, Sharp constants, Weighted Lorentz sequence spaces
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:ltu:diva-102261Scopus ID: 2-s2.0-84878378498OAI: oai:DiVA.org:ltu-102261DiVA, id: diva2:1809463
Available from: 2023-11-03 Created: 2023-11-03 Last updated: 2023-11-03Bibliographically approved

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Scopushttps://acad.ro/sectii2002/proceedings/doc2013-1/proc_pag2013_n01.htm

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Persson, Lars-Erik

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