Geodesic
Boundedness of Riemann--Liouville operator from weighted Sobolev space to weighted Lebesgue space
Eurasian mathematical journal, Tome 12 (2021) no. 1, pp. 39-48

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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. 
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     author = {A. Kalybay and R. Oinarov},
     title = {Boundedness of {Riemann--Liouville} operator from weighted {Sobolev} space to weighted {Lebesgue} space},
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A. Kalybay; R. Oinarov. Boundedness of Riemann--Liouville operator from weighted Sobolev space to weighted Lebesgue space. Eurasian mathematical journal, Tome 12 (2021) no. 1, pp. 39-48. http://geodesic.mathdoc.fr/item/EMJ_2021_12_1_a3/