On smallest and largest spaces among rearrangement-invariant \(p\)-Banach function spaces (\(0<p<1\)) (Q1190338)
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scientific article; zbMATH DE number 57310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On smallest and largest spaces among rearrangement-invariant \(p\)-Banach function spaces (\(0<p<1\)) |
scientific article; zbMATH DE number 57310 |
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On smallest and largest spaces among rearrangement-invariant \(p\)-Banach function spaces (\(0<p<1\)) (English)
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27 September 1992
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Let \(\mu\) be the Lebesgue measure on \((0,\infty)\) and \(E(\mu)\) a rearrangement-invariant \(p\)-Banach space \((0<p<1)\). The authors show that then \(L^ p(\mu)\cap L^ \infty(\mu)\subseteq E(\mu)\subseteq L^{p,\infty}(\mu)+L^ \infty(\mu)\) (continuous imbeddings).
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continuous imbeddings
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rearrangement-invariant \(p\)-Banach space
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