Calderon-type theorems for operators of non-standard endpoint behaviour

DOI10.1512/iumj.2009.58.3636zbMath1184.46024OpenAlexW2134380944MaRDI QIDQ3395908

Amiran Gogatishvili, Luboš Pick

Publication date: 15 September 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2009.58.3636

zbMATH Keywords

Sobolev embeddings\(K\)-functionalrearrangement-invariant spacesquasilinear operatorsfractional maximal operatorHardy operatorsendpoint estimatesnon-increasing rearrangementsupremum operatorsCalderón theoreminterpolation segment

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) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items (2)

Calderón-type theorems for operators with non-standard endpoint behavior on Lorentz spaces ⋮ Reduction principle for Gaussian \(K\)-inequality

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