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Best constants between equivalent norms in Lorentz sequence spaces
Department of Mathematics, Physics and Engineering Sciences, Karlstad University.
Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest.
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
2012 (engelsk)Inngår i: Journal of Function Spaces and Applications, ISSN 0972-6802, E-ISSN 1758-4965, Vol. 2012Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We find the best constants in inequalities relating the standard norm, the dual norm, and the norm ‖ 푥 ‖ ( 푝 , 푠 ) ∑ ∶ = i n f { 푘 ‖ 푥 ( 푘 ) ‖ 푝 , 푠 } , where the infimum is taken over all finite representations ∑ 푥 = 푘 푥 ( 푘 ) in the classical Lorentz sequence spaces. A crucial point in this analysis is the concept of level sequence, which we introduce and discuss. As an application, we derive the best constant in the triangle inequality for such spaces.

sted, utgiver, år, opplag, sider
2012. Vol. 2012
HSV kategori
Forskningsprogram
Matematik
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URN: urn:nbn:se:ltu:diva-12125DOI: 10.1155/2012/713534ISI: 000301411000001Scopus ID: 2-s2.0-84864930909Lokal ID: b31ae66d-3ac3-475e-abab-8a231cb0dcedOAI: oai:DiVA.org:ltu-12125DiVA, id: diva2:985075
Merknad
Validerad; 2012; Bibliografisk uppgift: Article ID 713534; 20120309 (andbra)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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