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Duality theorem over the cone of monotone functions and sequences in higher dimensions
Luleå tekniska universitet.
Department of Mathematics and Statistics, McMaster University, Hamilton.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2002 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 7, no 1, 79-108 p.Article in journal (Refereed) Published
Abstract [en]

Let f be a non-negative function defined on ℝ+n which is monotone in each variable separately. If 1 < p < ∞, g ≥ 0 and v a product weight function, then equivalent expressions for sup ∫ℝ(+)(n) fg/(ℝ+nfpv)1/p are given, where the supremum is taken over all such functions f. Variants of such duality results involving sequences are also given. Applications involving weight characterizations for which operators defined on such functions (sequences) are bounded in weighted Lebesgue (sequence) spaces are also pointed out.

Place, publisher, year, edition, pages
2002. Vol. 7, no 1, 79-108 p.
Research subject
URN: urn:nbn:se:ltu:diva-11397Local ID: a5aa3f60-a182-11db-8975-000ea68e967bOAI: diva2:984347
Validerad; 2002; 20061025 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Persson, Lars-Erik
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