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The Luzin approximation of functions from classesWαpon metric spaces with measure

✍ Scribed by V. G. Krotov; M. A. Prokhorovich

Book ID
111503234
Publisher
Allerton Press, Inc.
Year
2008
Tongue
English
Weight
619 KB
Volume
52
Category
Article
ISSN
1066-369X

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The object of this paper is to prove the following theorem: Let \(Y\) be a closed subspace of the Banach space \(X,(S, \Sigma, \mu)\) a \(\sigma\)-finite measure space, \(L(S, Y)\) (respectively, \(L(S, X)\) ) the space of all strongly measurable functions from \(S\) to \(Y\) (respectively, \(X\) ),