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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 4, Pages 913–931
DOI: https://doi.org/10.33048/smzh.2020.61.413 (Mi smj6027) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Multidimensional bilinear hardy inequalities

V. D. Stepanova, G. È. Shambilovab

a Computer Centre of Far Eastern Branch RAS, Khabarovsk
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
Full-text PDF (526 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2020.61.413
Abstract: We obtain a characterization of the multidimensional bilinear Hardy inequality in weighted Lebesgue spaces.
Keywords: weighted Lebesgue space, Hardy operator, bilinear operator.
Funding agency Grant number
Russian Science Foundation 19-11-00087
Ministry of Science and Higher Education of the Russian Federation
Russian Foundation for Basic Research 19-01-00223
The work of V. D. Stepanov (<a data-track="click" data-track-label="link" data-track-action="section anchor" href="/article/10.1134/S0037446620040138#Sec6">Theorems 2</a>, <a data-track="click" data-track-label="link" data-track-action="section anchor" href="/article/10.1134/S0037446620040138#Sec8">3</a>, <a data-track="click" data-track-label="link" data-track-action="section anchor" href="/article/10.1134/S0037446620040138#Sec30">13</a>, and <a data-track="click" data-track-label="link" data-track-action="section anchor" href="/article/10.1134/S0037446620040138#Sec32">14</a>) was supported by the Russian Science Foundation (Grant 19–11–00087) and carried out at the Steklov Mathematical Institute of the Russian Academy of Sciences. The work of V. D. Stepanov for the rest of the paper was carried out within the framework of the State Task of the Ministry of Education and Science of the Russian Federation to the Computing Center of Far Eastern Branch of the Russian Academy of Sciences. The results of the work of G. E. Shambilova were partially supported by the Russian Foundation for Basic Research (Grant 19–01–00223).
Received: 28.01.2020
Revised: 18.03.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 4, Pages 725–742
DOI: https://doi.org/10.1134/S0037446620040138
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 35R30
Language: Russian
Citation: V. D. Stepanov, G. È. Shambilova, “Multidimensional bilinear hardy inequalities”, Sibirsk. Mat. Zh., 61:4 (2020), 913–931; Siberian Math. J., 61:4 (2020), 725–742
Citation in format AMSBIB
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\paper Multidimensional bilinear hardy inequalities
\jour Sibirsk. Mat. Zh.
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    		Ñèáèðñêèé ìàòåìàòè÷åñêèé æóðíàë Siberian Mathematical Journal
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