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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 639–658
DOI: https://doi.org/10.17377/smzh.2018.59.313 (Mi smj3000) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions

V. D. Stepanova, G. E. Shambilovab

a Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
b Peoples' Friendship University of Russia, Moscow, Russia
Full-text PDF (368 kB) Citations (9)
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DOI: https://doi.org/10.17377/smzh.2018.59.313
Abstract: We present the reduction methods for characterizing bilinear weighted inequalities on the Lebesgue cones of nondecreasing functions on a half-axis with integration operators.
Keywords: weighted Lebesgue space, quasilinear integral operator, cone of monotone functions.
Funding agency Grant number
Russian Science Foundation 16-41-02004
14-11-00443
The results of Section 2 were supported by the Russian Science Foundation (Grant 16-41-02004) and carried out at Peoples' Friendship University of Russia. The results of Section 3 were supported by the Russian Science Foundation under Grant 14-11-00443 and performed in the Steklov Mathematical Institute of the Russian Academy of Sciences.
Received: 22.08.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 505–522
DOI: https://doi.org/10.1134/S0037446618030138
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 35R30
Language: Russian
Citation: V. D. Stepanov, G. E. Shambilova, “Reduction of weighted bilinear inequalities with integration operators on the cone of nondecreasing functions”, Sibirsk. Mat. Zh., 59:3 (2018), 639–658; Siberian Math. J., 59:3 (2018), 505–522
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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