Weighted estimates for a class of sublinear operators

DOI10.1134/S1064562413060264zbMath1310.47066OpenAlexW2078419042MaRDI QIDQ403894

Dmitry Vladimirovich Prokhorov, Vladimir D. Stepanov

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1134/s1064562413060264

zbMATH Keywords

weighted inequalitiessublinear operatorsOinarov'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)

Related Items (14)

Weighted estimates of a class of integral operators with three parameters ⋮ On a class of weighted inequalities containing quasilinear operators ⋮ Boundedness of quasilinear integral operators of iterated type with Oinarov's kernel on the cone of monotone functions ⋮ On the boundedness of a class of sublinear operators ⋮ On bilinear weighted inequalities on the cone of nondecreasing functions ⋮ Unnamed Item ⋮ Estimates for a class of sublinear integral operators ⋮ Boundedness of quasilinear integral operators on the cone of monotone functions ⋮ Boundedness of a class of quasilinear operators on the cone of monotone functions ⋮ Weight boundedness of a class of quasilinear operators on the cone of monotone functions ⋮ Bounds for a class of quasilinear integral operators on the set of non-negative and non-negative monotone functions ⋮ Weighted estimates for a class of quasilinear integral operators ⋮ Boundedness of weighted iterated Hardy-type operators involving suprema from weighted Lebesgue spaces into weighted Cesàro function spaces ⋮ On weighted inequalities for a class of quasilinear integral operators

Cites Work

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• Boundedness of the Riesz potential in local Morrey-type spaces
• Weighted inequalities for Hardy-type operators involving suprema
• Inequalities of Hardy type for a class of integral operators with measures
• A reduction theorem for supremum operators
• Hardy Inequalities with Mixed Norms
• Weighted Norm Inequalities of Hardy Type for a Class of Integral Operators
• Weighted Modular Inequalities for Hardy Type Operators
• Duality principles and reduction theorems
• The Weighted Hardy Inequality: New Proofs and the Case p = 1
• Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space
• Boundedness of the fractional maximal operator in local Morrey-type spaces

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