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Matematicheskie Zametki, 2018, Volume 104, Issue 3, Pages 454–466
DOI: https://doi.org/10.4213/mzm12117 (Mi mzm12117) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Iterated Integral Operators on the Cone of Monotone Functions

V. D. Stepanova, G. È. Shambilovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Peoples' Friendship University of Russia, Moscow
Full-text PDF (500 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm12117
Abstract: Criteria for the boundedness of sublinear integral two-kernel operators of iterated type on cones of monotone functions in Lebesgue spaces on the real semiaxis are given.
Keywords: Hardy-type inequality, weighted Lebesgue space, sublinear integral operator.
Funding agency Grant number
Russian Science Foundation 16-41-02004
This work was carried out at RUDN University and supported by the Russian Science Foundation under grant 16-41-02004.
Received: 28.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 3, Pages 443–453
DOI: https://doi.org/10.1134/S0001434618090122
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. D. Stepanov, G. È. Shambilova, “Iterated Integral Operators on the Cone of Monotone Functions”, Mat. Zametki, 104:3 (2018), 454–466; Math. Notes, 104:3 (2018), 443–453
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm12117
  • https://www.mathnet.ru/eng/mzm/v104/i3/p454
    • This publication is cited in the following 3 articles:
    1. A. A. Loboda, “The Doss Method for the Stochastic Schrödinger–Belavkin Equation”, Math. Notes, 106:2 (2019), 303–307  mathnet  crossref  crossref  mathscinet  isi  elib
    2. V. D. Stepanov, G. E. Shambilova, “On iterated and bilinear integral Hardy-type operators”, Math. Inequal. Appl., 22:4 (2019), 1505–1533  crossref  mathscinet  zmath  isi
    3. P. Jain, S. Kanjilal, V. D. Stepanov, E. P. Ushakova, “Bilinear Hardy–Steklov Operators”, Math. Notes, 104:6 (2018), 823–832  mathnet  mathnet  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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