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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 284, Pages 142–156
DOI: https://doi.org/10.1134/S0371968514010087 (Mi tm3523) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Optimal reconstruction of a Banach function space from a cone of nonnegative functions

M. L. Goldmana, P. P. Zabreikob

a Peoples Friendship University of Russia, Moscow, Russia
b Belarusian State University, Minsk, Belarus
Full-text PDF (219 kB) Citations (10)
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DOI: https://doi.org/10.1134/S0371968514010087
Abstract: We study the problem of constructing a minimal Banach function space containing a given cone of nonnegative measurable functions. For the associate function norm of the norm of an optimal space, we obtain general formulas and specify them in the case of a cone defined by an integral representation. We also consider the similar problem of constructing an optimal rearrangement invariant space and compare the descriptions obtained.
Received in July 2013
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 284, Pages 133–147
DOI: https://doi.org/10.1134/S0081543814010088
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: M. L. Goldman, P. P. Zabreiko, “Optimal reconstruction of a Banach function space from a cone of nonnegative functions”, Function spaces and related problems of analysis, Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 284, MAIK Nauka/Interperiodica, Moscow, 2014, 142–156; Proc. Steklov Inst. Math., 284 (2014), 133–147
Citation in format AMSBIB
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\paper Optimal reconstruction of a~Banach function space from a~cone of nonnegative functions
\inbook Function spaces and related problems of analysis
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 284
\pages 142--156
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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