Sharp estimates for the identity minus Hardy operator on the cone of decreasing functions

DOI10.1090/S0002-9939-08-09200-9zbMath1156.46027MaRDI QIDQ3508076

Eric Setterqvist, Natan Ya. Krugljak

Publication date: 27 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hardy operatorsharp estimatescone of decreasing functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (11)

Hardy's operator minus identity and power weights ⋮ Solution to a conjecture on the norm of the Hardy operator minus the identity ⋮ Weak-type and end-point norm estimates for Hardy operators ⋮ Isometries on and monotone functions ⋮ Optimal relationships between \((L^p)\)-norms for the Hardy operator and its dual ⋮ Averaging operators on decreasing or positive functions: equivalence and optimal bounds ⋮ On the optimal relationships between \(L^P\)-norms for the Hardy operator and its dual for decreasing functions ⋮ On the Cesàro and Copson norms of nonnegative sequences ⋮ A new class of restricted type spaces ⋮ Hardy's inequality and its descendants: a probability approach ⋮ Weighted inequalities involving Hardy and Copson operators

Cites Work

• Weak-\(L^\infty\) and BMO
• On an elementary approach to the fractional Hardy inequality
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