BOUNDEDNESS OF RIEMANN–LIOUVILLE OPERATOR FROM WEIGHTED SOBOLEV SPACE TO WEIGHTED LEBESGUE SPACE FOR 1 < q < p < ∞
Kalybay A. Oinarov R.
January 2022Element D.O.O.
Mathematical Inequalities and Applications
2022#25Issue 117 - 26 pp.
In the paper, a criterion for the boundedness of the Riemann-Liouville fractional integration operator from a weighted Sobolev space to a weighted Lebesgue space is obtained for 1 < q < p < ∞ .
boundedness , Operator of fractional integration , Riemann-Liouville operator , weighted Lebesgue space , weighted Sobolev space
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L. N. Gumilyov Eurasian National University, 5 Munaitpasov Str., Nur-Sultan, 010008, Kazakhstan
KIMEP University
L. N. Gumilyov Eurasian National University
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