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Interpolation of cesàro sequence and function spaces
Department of Mathematics and Mechanics, Samara State University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2013 (English)In: Studia Mathematica, ISSN 0039-3223, E-ISSN 1730-6337, Vol. 215, no 1, p. 39-69Article in journal (Refereed) Published
Abstract [en]

The interpolation properties of Cesàro sequence and function spaces are investigated. It is shown that Cesp(I) is an interpolation space between Cesp0 (I) and Cesp1 (I) for 1 < p0 < p1 ≤ ∞ and 1/p = (1 - θ)/p0 + θ/p1 with 0 < θ < 1, where I = [0,∞) or [0, 1]. The same result is true for Cesàro sequence spaces. On the other hand, Cesp[0; 1] is not an interpolation space between Ces 1[0; 1] and Ces∞[0; 1].

Place, publisher, year, edition, pages
2013. Vol. 215, no 1, p. 39-69
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-2764DOI: 10.4064/sm215-1-4Local ID: 072b1af2-7a5c-4ad9-b933-2f41dd1592c4OAI: oai:DiVA.org:ltu-2764DiVA, id: diva2:975617
Note
Validerad; 2013; 20130624 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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