The failure of the Hardy inequality and interpolation of intersections

DOI10.1007/BF02412218zbMath1021.46024OpenAlexW1992184569MaRDI QIDQ1810332

Lech Maligranda, Lars-Erik Persson, Natan Ya. Krugljak

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02412218

zbMATH Keywords

interpolationHardy inequality

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 for sums, series and integrals (26D15)

Related Items (8)

Interpolation of Banach algebras and tensor products of Banach couples ⋮ Subcouples of codimension one and interpolation of operators that almost agree ⋮ Interpolation of intersections generated by a linear functional ⋮ The real interpolation method on couples of intersections ⋮ Certain problems on the commutativity of interpolation functors ⋮ Interpolation of Normed Abelian Groups and Non-Commutative Integration ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields ⋮ Interpolation of intersections by the real method

Cites Work

• Interpolation between \(H^ p\) spaces and non-commutative generalizations. I
• On the spectra of a Hardy kernel
• Interpolation of subcouples and quotient couples
• Eine Bemerkung zur nicht-kommutativen Interpolation
• A property of interpolation spaces
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