Integral operators on cones of monotone functions

DOI10.1134/S1064562412050158zbMath1263.47057MaRDI QIDQ5917868

Amiran Gogatishvili, Vladimir D. Stepanov

Publication date: 14 January 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotone functionsintegral inequalitiesOinarov's condition

Mathematics Subject Classification ID

Integral operators (47G10) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Related Items (3)

The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions ⋮ Boundedness of quasilinear integral operators on the cone of monotone functions ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

Cites Work

• Hardy-type inequalities on the cones of monotone functions
• Boundedness of classical operators on classical Lorentz spaces
• Weighted Modular Inequalities for Hardy Type Operators
• The Weighted Hardy Inequality: New Proofs and the Case p = 1
• Integral operators on cones of monotone functions

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