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Calderón-Lozanovskii construction for mixed norm spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2004 (English)In: Acta Mathematica Hungarica, ISSN 0236-5294, E-ISSN 1588-2632, Vol. 103, no 4, 279-302 p.Article in journal (Refereed) Published
Abstract [en]

We show that the Calderón-Lozanovskiǐ construction φ(.) commutes with arbitrary mixed norm spaces, that is, φ(E0[F 0], E1[F1] = φ(E0, E 1)[φ(F0, F1) if and only if φ is equivalent to a power function. This result we obtain by giving characterizations of the corresponding embeddings of φ(E0[F 0], E1[F1]) into φ0(E 0, E1[φ1(F0, F1)] and vice versa in terms of the functions φ, φ0, φ1. As a particular case, we get embeddings of an Orlicz space with mixed norms into an Orlicz space on a product of measure spaces. Applications to classical operators between mixed norm Orlicz spaces are also discussed

Place, publisher, year, edition, pages
2004. Vol. 103, no 4, 279-302 p.
Research subject
URN: urn:nbn:se:ltu:diva-15972DOI: 10.1023/B:AMHU.0000028829.15720.02Local ID: f8e2d280-aa03-11db-aeba-000ea68e967bOAI: diva2:988948
Validerad; 2004; 20070122 (kani)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Maligranda, Lech
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