BOUNDEDNESS OF RIEMANN-LIOUVILLE OPERATOR FROM WEIGHTED SOBOLEV SPACE TO WEIGHTED LEBESGUE SPACE
Kalybay A. Oinarov R.
2021L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2021#12Issue 139 - 48 pp.
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.
boundedness , Riemann-Liouville operator , Sobolev space , weight function , weighted inequality
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Department of Economics, KIMEP University, 4 Abay Ave, Almaty, 050010, Kazakhstan
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, Nur-Sultan, 010008, Kazakhstan
Department of Economics
Department of Mechanics and Mathematics
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