A duality theorem for Hardy spaces on domains in \(\mathbb{R}^n\) (Q2739208)
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scientific article; zbMATH DE number 1643614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A duality theorem for Hardy spaces on domains in \(\mathbb{R}^n\) |
scientific article; zbMATH DE number 1643614 |
Statements
16 May 2002
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exterior regular domain
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local Hardy space
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dual space
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Lipschitz space
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atom
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A duality theorem for Hardy spaces on domains in \(\mathbb{R}^n\) (English)
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Let \(\Omega\) be an exterior regular domain and \(h^p_r(\Omega)\) for \(0<p<1\) be the restriction to \(\Omega\) of the local Hardy space \(h^p({\mathbf{R}}^n)\) in the sense of Goldberg. By using atomic characterization of \(h^p_r(\Omega)\), the author gives its dual spaces.
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