Boundedness of a class of quasilinear operators on the cone of monotone functions

DOI10.1134/S1064562416060302zbMath1489.47071OpenAlexW4243098671MaRDI QIDQ521431

Guldarya E. Shambilova, Vladimir D. Stepanov

Publication date: 11 April 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562416060302

zbMATH Keywords

positive operatorsweighted boundedness

Mathematics Subject Classification ID

Integral operators (47G10)

Related Items (3)

Boundedness of quasilinear integral operators of iterated type with Oinarov's kernel on the cone of monotone functions ⋮ On bilinear weighted inequalities on the cone of nondecreasing functions ⋮ Bilinear weighted inequalities with Volterra integral operators

Cites Work

• On a class of weighted inequalities containing quasilinear operators
• Weighted estimates for a class of sublinear operators
• Hardy-type inequalities on the cones of monotone functions
• Estimates for a class of sublinear integral operators
• The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions
• On the boundedness of a class of sublinear operators
• Embeddings of concave functions and duals of Lorentz spaces.
• Hardy-type inequalities on the weighted cones of quasi-concave functions
• Reduction theorems for weighted integral inequalities on the cone of monotone functions
• Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces
• Boundedness of classical operators on classical Lorentz spaces
• On the Principle of Duality in Lorentz Spaces
• Integral Operators on the Cone of Monotone Functions
• Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space

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