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Some quantitative interpolation theorems under Lions-Peetre’s methods
Dalarna University, School of Technology and Business Studies, Mathematics.
2009 (English)In: Journal of Convex Analysis, ISSN 0944-6532, Vol. 16, no 2, p. 487-499Article in journal (Refereed) Published
Abstract [en]

We formulate the quantitative version of interpolation theorems on compactness and weak compactness, the improved estimate for the k-uniform rotundity, and even the stability of the nearly uniform convexity under Lions-Peetre's interpolation methods of constants and means associated with quasi-power function parameters.

Place, publisher, year, edition, pages
Heldermann Verlag , 2009. Vol. 16, no 2, p. 487-499
Keywords [en]
Interpolation, k-uniform rotundity, Lions-Peetre's method, nearly uniform convexity, noncompactness, weak noncompactness
National Category
Mathematics
Identifiers
URN: urn:nbn:se:du-3816ISI: 000270603500010OAI: oai:dalea.du.se:3816DiVA, id: diva2:520052
Available from: 2009-03-16 Created: 2009-03-16 Last updated: 2017-12-07Bibliographically approved

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CiteExportLink to record
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