|
|
|
|
References
|
|
| |
| 1. |
A.M. Abylaeva, D. Kaskirbaeva, “Boundedness and compactness of fractional integration operator of Holmgren type in weighted Lebesgue spaces”, Evraziiskii Matematicheskii Zhurnal, 2 (2007), 75-86 (in Russian)  |
| 2. |
K.F. Andersen, E.T. Sawyer, “Weighted norm inequalities for the Riemann-Liouville and Weyl fractional integral operators”, Trans. Amer. Math. Soc., 308 (1988), 547-558     |
| 3. |
D.E. Edmunds, V. Kokilashvili, A. Meskhi, Bounded and compact integral operators, Kluwer Academic Publishers, Dordrecht, 2002 |
| 4. |
S.M. Farsani, “On the boundedness and compactness of the fractional Riemann-Liouville operators”, Sibirsk. Mat. J., 54:2 (2013), 468-479 (in Russian) |
| 5. |
L.V. Kantarovich, G.R. Akilov, Functional analysis, Nauka, M., 1977 (in Russian) |
| 6. |
M.A. Krasnosel’skii, P.P. Zabreiko, E.N. Pustilnik, P.E. Sobolevski, Integral operators in spaces of summable functions, Nauka, M., 1966 (in Russian) |
| 7. |
A. Kufner, L. Maligranda, L.-E. Persson, The Hardy inequality — about its history and some related results, University of West Bohemia, Plzen, 2007, 152 pp. |
| 8. |
A. Meskhi, “Solution of some weight problems for the Riemann–Liouville and Weyl operators”, Georgian Math. J., 106 (1989), 727-733 |
| 9. |
R. Oinarov, A.M. Abylaeva, “Criteria for the boundedness of a class of fractional integration”, Mathematical Journal, 4:2(12) (2004), 5-14 (in Russian) |
| 10. |
D.V. Prokhorov, “On the boundedness and compactness of a class of integral operators”, J. London Math. Soc., 61:2 (2000), 617-628 |
| 11. |
D.V. Prokhorov, V.D. Stepanov, “Weighted estimates for the Riemann–Liouville operators and applications”, Proc. Steklov Math., 248, 2003, 289-312 (in Russian) |
| 12. |
S.G. Samko, A.A. Kilbac, O.I. Marichev, Integrals and derivatives of fractional order and some of their applications, Science and Technology, Minsk, 1987, 688 pp. (in Russian) |
