\(L\)-Correspondences: The inclusion \(L^ p (\mu, X)\subset L^ q (\upsilon, Y)\) (Q1922848)
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scientific article; zbMATH DE number 930048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L\)-Correspondences: The inclusion \(L^ p (\mu, X)\subset L^ q (\upsilon, Y)\) |
scientific article; zbMATH DE number 930048 |
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\(L\)-Correspondences: The inclusion \(L^ p (\mu, X)\subset L^ q (\upsilon, Y)\) (English)
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19 November 1996
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Summary: In order to study inclusions of the type \(L^p(\mu,X)\subset L^q(\upsilon,Y)\), we introduce the notion of an \(L\)-correspondence. After proving some basic theorems, we give characterizations of some types of \(L\)-correspondences and offer a conjecture that is similar to an equimeasurability theorem.
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Lebesgue-Bochner spaces
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measurable point mapping
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inclusions
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\(L\)-correspondence
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equimeasurability theorem
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