BOUNDEDNESS OF RIEMANN-LIOUVILLE OPERATOR FROM WEIGHTED SOBOLEV SPACE TO WEIGHTED LEBESGUE SPACE

DOI10.32523/2077-9879-2021-12-1-39-48zbMath1474.26067OpenAlexW3144130113MaRDI QIDQ4988633

Ryskul Oinarov, Aigerim A. Kalybay

Publication date: 18 May 2021

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj390

zbMATH Keywords

Sobolev spaceweight functionboundednessRiemann-Liouville operatorweighted inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (7)

Boundedness of one class of integral operators from second order weighted Sobolev space to weighted Lebesgue space ⋮ ITERATED DISCRETE HARDY-TYPE INEQUALITIES ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the associated spaces of the weighted altered Cesàro space ⋮ A bilinear inequality for a class of operators of fractional integration ⋮ Boundedness of Riemann-Liouville operator from weighted Sobolev space to weighted Lebesgue space for 1 < q < p < ∞

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