A. Kalybay, R. Oinarov, “Boundedness of Riemann–Liouville operator from weighted Sobolev space to weighted Lebesgue space”, Eurasian Math. J., 2021, Volume 12, Number 1,Pages <nobr>39

This article is cited in 7 papers

Boundedness of Riemann–Liouville operator from weighted Sobolev space to weighted Lebesgue space

A. Kalybay^a, R. Oinarov^b

^a Department of Economics, KIMEP University, 4 Abay Ave, 050010 Almaty, Kazakhstan
^b Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, 010008 Nur-Sultan, Kazakhstan

Abstract: In this paper, we obtain a criterion for the boundedness of the Riemann–Liouville fractional integration operator from a weighted Sobolev space to a weighted Lebesgue space.

Keywords and phrases: Sobolev space, Riemann-Liouville operator, weight function, boundedness, weighted inequality.

MSC: 26D10, 47B38

Received: 15.08.2019

Language: English

DOI: 10.32523/2077-9879-2021-12-1-39-48