On a generalized Sobolev space (Q2711302)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a generalized Sobolev space |
scientific article |
Statements
22 July 2002
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generalized Sobolev space
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completeness
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Royden's algebra
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bounded energy-finite functions
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0.95247334
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0.93326855
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0.9312614
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0.92884696
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On a generalized Sobolev space (English)
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In this paper the author defines a generalized Sobolev space of differential \(p\)-forms on a Euclidean \(n\)-space \(\mathbb{R}\). By means of currents, the author establishes the completeness of the space. Examples of the space for functions are Royden's algebra \(M(\mathbb{R})\), the Dirichlet \(p\)-algebra \(M^p(\mathbb{R})\), and the algebra \(M_P(\mathbb{R})\) of bounded energy-finite functions.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00011].
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