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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2022 Volume 63, Number 5, Pages 1104–1118 (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

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.

UDC: 517.51

Received: 17.11.2021
Revised: 17.11.2021
Accepted: 10.02.2022

DOI: 10.33048/smzh.2022.63.512


 English version: Siberian Mathematical Journal, 2022, 63:5, 927–939

© Steklov Math. Inst. of RAS, 2025