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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 5, Pages 1131–1155
DOI: https://doi.org/10.17377/smzh.2016.57.519 (Mi smj2779) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Boundedness of quasilinear integral operators on the cone of monotone functions

V. D. Stepanovab, G. E. Shambilovac

a Peoples' Friendship University of Russia, Moscow, Russia
b Steklov Institute of Mathematics, Moscow, Russia
c Financial University Under the Government of the Russian Federation, Moscow, Russia
Full-text PDF (375 kB) Citations (7)
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DOI: https://doi.org/10.17377/smzh.2016.57.519
Abstract: We study the problem of characterizing weighted inequalities on Lebesgue cones of monotone functions on the half-axis for one class of quasilinear integral operators.
Keywords: Hardy inequality, weighted Lebesgue space, quasilinear integral operator.
Funding agency Grant number
Russian Science Foundation 16-41-02004
This research was carried out at the Peoples’ Friendship University of Russia and financially supported by the Russian Science Foundation (Grant 16-41-02004).
Received: 16.02.2016
Revised: 16.06.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 5, Pages 884–904
DOI: https://doi.org/10.1134/S0037446616050190
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Sibirsk. Mat. Zh., 57:5 (2016), 1131–1155; Siberian Math. J., 57:5 (2016), 884–904
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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