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Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures

✍ Scribed by José M. Rodrı́guez

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
316 KB
Volume
120
Category
Article
ISSN
0021-9045

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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, \(X\) ),