Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\). (Q1432134)
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scientific article; zbMATH DE number 2074458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\). |
scientific article; zbMATH DE number 2074458 |
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Density \(C_0^{\infty}(\mathbb{R}^n)\) in the generalized Sobolev spaces \(W^{m,p(x)}(\mathbb{R}^n)\). (English)
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15 June 2004
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The author considers generalizations \(L^{p(x)}\), \(W^{m,p(x)}\) of the \(L^p\) and \(W^{m,p}\) spaces, and he shows the density of \(C_0^\infty (\mathbb{R}^n)\) in \(W^{m,p(x)} (\mathbb{R}^n)\).
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0.9268686
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0.89291716
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0.8910477
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0.8823651
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