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K-envelopes for real interpolation methods
Dalarna University, School of Technology and Business Studies, Mathematics.
2013 (English)In: Glasgow Mathematical Journal, ISSN 0017-0895, E-ISSN 1469-509X, Vol. 55, no 2, 293-307 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we study the K-envelopes of the real interpolation methods with function space parameters in the sense of Brudnyi and Kruglyak [Y. A. Brudnyi and N. Ja. Kruglyak, Interpolation functors and interpolation spaces(North-Holland, Amsterdam, Netherlands, 1991)]. We estimate the upper bounds of the K-envelopes and the interpolation norms of bounded operators for the K Φ-methods in terms of the fundamental function of the rearrangement invariant space related to the function space parameter Φ. The results concerning the quasi-power parameters and the growth/continuity envelopes in function spaces are obtained.

Place, publisher, year, edition, pages
2013. Vol. 55, no 2, 293-307 p.
National Category
Natural Sciences
Research subject
Stålformning och ytteknik
Identifiers
URN: urn:nbn:se:du-12064DOI: 10.1017/S0017089512000523ISI: 000316816900005OAI: oai:DiVA.org:du-12064DiVA: diva2:613289
Available from: 2013-03-27 Created: 2013-03-27 Last updated: 2015-06-26Bibliographically approved

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CiteExportLink to record
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  • apa
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