Characterization of associate spaces of weighted Lorentz spaces with applications

DOI10.4064/sm224-1-1zbMath1325.46032OpenAlexW2319698056MaRDI QIDQ2928192

Filip Soudský, Luboš Pick, Amiran Gogatishvili

Publication date: 6 November 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5037edad731e960bc7423cee5191f3171ea05b17

zbMATH Keywords

Banach function spacereflexivityweighted inequalitiesweighted Lorentz spacesassociate spacenon-increasing rearrangementabsolute continuity of norm

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)

Related Items (11)

Optimal embeddings of Bessel and Riesz type potentials on the basis of weighted Lorentz spaces ⋮ Variable exponents and grand Lebesgue spaces: Some optimal results ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Embeddings of Lorentz-type spaces involving weighted integral means ⋮ Embeddings and associated spaces of Copson-Lorentz spaces ⋮ Characterization of the function spaces associated with weighted Sobolev spaces of the first order on the real line ⋮ Unnamed Item ⋮ Weighted inequalities for iterated Copson integral operators ⋮ Calculations of norms for monotone operators on cones of functions with monotonicity properties ⋮ Some new results related to Lorentz \(G\Gamma\)-spaces and interpolation ⋮ A sharp blow-up estimate for the Lebesgue norm

Cites Work

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• On the theory of spaces \(\Lambda\)
• Relative rearrangement method for estimating dual norms
• Compactness of Sobolev imbeddings involving rearrangement-invariant norms

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