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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 5, Pages 1104–1118
DOI: https://doi.org/10.33048/smzh.2022.63.512 (Mi smj7717) 		 
A bilinear inequality for a class of operators of fractional integration

R. Oinarov, A. O. Baiarystanov, M. Aldai

Eurasian National University named after L.N. Gumilyov, Nur-Sultan
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DOI: https://doi.org/10.33048/smzh.2022.63.512
Abstract: We obtain some criteria for a bilinear inequality of a class of operators of fractional integration that imply the corresponding criteria and bilinear inequalities for the Riemann–Liouville, Hadamard, and Erdelyi–Kober operators.
Keywords: fractional integral operator, Riemann–Liouville operator, Hadamard operator, Erdelyi–Kober operator, bilinear inequality, weight function, Lebesgue space.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08856339
The authors were supported by the Ministry of Science and Education of Kazakhstan, Grant no.В AP08856339, “Fundamental and Applied Research in Mathematics and Mechanics.”
Received: 17.11.2021
Revised: 17.11.2021
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 5, Pages 927–939
DOI: https://doi.org/10.1134/S0037446622050123
Document Type: Article
UDC: 517.51
Language: Russian
Citation: R. Oinarov, A. O. Baiarystanov, M. Aldai, “A bilinear inequality for a class of operators of fractional integration”, Sibirsk. Mat. Zh., 63:5 (2022), 1104–1118; Siberian Math. J., 63:5 (2022), 927–939
Citation in format AMSBIB
\Bibitem{OinBaiAld22}
\by R.~Oinarov, A.~O.~Baiarystanov, M.~Aldai
\paper A bilinear inequality for a~class of operators of fractional integration
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 5
\pages 1104--1118
\mathnet{http://mi.mathnet.ru/smj7717}
\crossref{https://doi.org/10.33048/smzh.2022.63.512}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 5
\pages 927--939
\crossref{https://doi.org/10.1134/S0037446622050123}
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    		Сибирский математический журнал Siberian Mathematical Journal
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