The weighted Stieltjes inequality and applications

DOI10.1002/mana.201100092zbMath1268.26026OpenAlexW2093718153MaRDI QIDQ4925036

Amiran Gogatishvili, Alois Kufner, Lars-Erik Persson

Publication date: 11 June 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100092

zbMATH Keywords

weightsinequalitiesscales of weight characterizationsRiccati's equationStieltjes' transform

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Embeddings of Lorentz-type spaces involving weighted integral means ⋮ Some scales of equivalent conditions to characterize the Stieltjes inequality: the case ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

Cites Work

• Hardy's inequality and its extensions
• Some new scales of weight characterizations of the class \(B_p\)
• Criteria of solvability for multidimensional Riccati equations
• An equivalence theorem for integral conditions related to Hardy's inequality
• On a Class of New Inequalities
• Nonlinear equations and weighted norm inequalities