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Sharp estimates of approximation in Lpby functions of the form ϕ(x)+ψ(y)

✍ Scribed by S. A. Pichugov


Book ID
112472854
Publisher
Springer
Year
1989
Tongue
English
Weight
181 KB
Volume
41
Category
Article
ISSN
0041-5995

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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, \(X\) ),