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Matematicheskie Zametki, 2015, Volume 98, Issue 6, Pages 907–922
DOI: https://doi.org/10.4213/mzm10725 (Mi mzm10725) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions

V. D. Stepanovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Peoples Friendship University of Russia, Moscow
Full-text PDF (556 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm10725
Abstract: Optimal (minimal) Banach spaces containing given cones of monotone or quasiconcave functions on the semiaxis from weighted Lebesgue spaces are described. Exact formulas for the norm of the optimal space are presented. All cases of the summation parameter are studied.
Keywords: optimal (minimal) Banach space, cone of monotone functions, cone of quasiconcave functions, weighted Lebesgue space, Sinnamon's lemma.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-02732
Ministry of Education and Science of the Russian Federation НШ-4479.2014.1
Received: 16.04.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 6, Pages 957–970
DOI: https://doi.org/10.1134/S0001434615110280
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. D. Stepanov, “On Optimal Banach Spaces Containing a Weight Cone of Monotone or Quasiconcave Functions”, Mat. Zametki, 98:6 (2015), 907–922; Math. Notes, 98:6 (2015), 957–970
Citation in format AMSBIB
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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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