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Calderón-Lozanovski construction on weighted Banach function lattices
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2003 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 288, no 2, 744-757 p.Article in journal (Refereed) Published
Abstract [en]

We show that the Calderón-Lozanovskiǐ construction (·) commute with arbitrary weighted Banach function lattices, that is, (E0(w0), E1 (w1)) = (E0, E1)(w) with w = 1/ (1/w0, 1/w1) if and only if is equivalent to a power function. From this result we can also get the Stein-Weiss theorem on interpolation of weighted Lp spaces and its generalizations

Place, publisher, year, edition, pages
2003. Vol. 288, no 2, 744-757 p.
Research subject
URN: urn:nbn:se:ltu:diva-2800DOI: 10.1016/j.jmaa.2003.09.025Local ID: 07f901d0-a9f6-11db-aeba-000ea68e967bOAI: diva2:975653
Validerad; 2003; 20070122 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Kruglyak, NatanMaligranda, Lech
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