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On Clarkson's inequality, type and cotype for the Edmunds-Triebel logarithmic spaces
Department of Mathematics, Sofia University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Department of Mathematics, University of Athens, Panepistimiopolis.
2003 (English)In: Archiv der Mathematik, ISSN 0003-889X, E-ISSN 1420-8938, Vol. 80, no 2, p. 165-176Article in journal (Refereed) Published
Abstract [en]

We show that the (p, p') Clarkson's inequality holds in the Edmunds-Triebel logarithmic spaces Aq(logA)b,q and in the Zygmund spaces Lp(logL)b(W), for b Î \mathbbR and for suitable 1 £ p £ 2. As a consequence of these results we also obtain some new information about the types and the cotypes of these spaces.

Place, publisher, year, edition, pages
2003. Vol. 80, no 2, p. 165-176
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-3773DOI: 10.1007/s00013-003-0451-7Local ID: 19abf660-6e2f-11db-83c6-000ea68e967bOAI: oai:DiVA.org:ltu-3773DiVA: diva2:976634
Note
Validerad; 2003; 20061107 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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