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New examples of K-monotone weighted Banach couples

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Publication:2856671
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DOI10.4064/sm218-1-4zbMath1292.46013arXiv1206.1244OpenAlexW2090780010MaRDI QIDQ2856671

Konstantin Tikhomirov, Lech Maligranda, Serguei V. Astashkin

Publication date: 30 October 2013

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

Full work available at URL: https://arxiv.org/abs/1206.1244


zbMATH Keywords

symmetric spaces\(K\)-functionalOrlicz spacesMarcinkiewicz spacesLorentz spacesregularly varying functions\(K\)-method of interpolationultrasymmetric spaces\(K\)-monotone couples\(w\)-decomposable Banach latticesweighted symmetric spaces


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) Banach lattices (46B42) Interpolation between normed linear spaces (46B70)


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Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\) ⋮ Interpolation of nonlinear positive or order preserving operators on Banach lattices



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