A scale of linear spaces related to the \(L_ p\) scale

zbMath0693.46024MaRDI QIDQ908476

Stephen Dilworth

Publication date: 1990

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

non-increasing rearrangement\(L^ p\)-spaces\(L_ p\)-scalesinvariant 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)

Related Items (4)

\(L_p + L_q\) and \(L_p \cap L_q\) are not isomorphic for all \(1 \leq p\), \(q\leq \infty\), \(p\neq q\) ⋮ 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2 ⋮ Isomorphic classification of \(L_{p, q}\)-spaces ⋮ Isomorphic classification of \(L_{p,q}\)-spaces. II

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