Geodesic
Weighted Estimates for the Riemann--Liouville Operators and Applications
Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 289-312

Voir la notice de l'article provenant de la source Math-Net.Ru

Necessary and sufficient conditions for the weighted boundedness and compactness of the Riemann–Liouville operators are obtained. Applications to the solvability of the Abel nonlinear integral equations and to the embeddings of Besov-type spaces into weighted Lebesgue spaces on the semiaxis are given. 
@article{TRSPY_2003_243_a19,
     author = {D. V. Prokhorov and V. D. Stepanov},
     title = {Weighted {Estimates} for the {Riemann--Liouville} {Operators} and {Applications}},
     journal = {Informatics and Automation},
     pages = {289--312},
     publisher = {mathdoc},
     volume = {243},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a19/}
}
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D. V. Prokhorov; V. D. Stepanov. Weighted Estimates for the Riemann--Liouville Operators and Applications. Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 289-312. http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a19/