Some scales of equivalent conditions to characterize the Stieltjes inequality: the case

DOI10.1002/mana.201200118zbMath1298.26052OpenAlexW1891574148MaRDI QIDQ5408101

Amiran Gogatishvili, Lars-Erik Persson, Vladimir D. Stepanov, Peter Wall

Publication date: 8 April 2014

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

Full work available at URL: https://doi.org/10.1002/mana.201200118

zbMATH Keywords

integral inequalitiesStieltjes inequalityStieltjes transform.

Mathematics Subject Classification ID

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 (3)

Integral conditions for Hardy-type operators involving suprema ⋮ Iterating Bilinear Hardy Inequalities ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

Cites Work

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• Some new scales of weight characterizations of the class \(B_p\)
• Discretization and anti-discretization of rearrangement-invariant norms
• On scales of equivalent conditions characterizing weighted Stieltjes inequality
• Some scales of equivalent weight characterizations of Hardy's inequality: the case q<p
• A note on the Stieltjes transformation
• On the Principle of Duality in Lorentz Spaces
• Weighted inequalities for the Stieltjes transformation and Hubert's double series
• The weighted Stieltjes inequality and applications

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