On weighted Hardy spaces on the unit disk (Q2791823)
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scientific article; zbMATH DE number 6556712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On weighted Hardy spaces on the unit disk |
scientific article; zbMATH DE number 6556712 |
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On weighted Hardy spaces on the unit disk (English)
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16 March 2016
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weighted Hardy spaces
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Poletsky-Stessin spaces
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duality
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bounded analytic functions
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0.9222993
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A continuous function \(u\) on the unit disk with values in \((-\infty,0)\) is called an \textit{exhaustion function} if \(u(z)\to 0\) as \(|z|\to1\). In [Indiana Univ. Math. J. 57, No. 5, 2153--2201 (2008; Zbl 1160.32008)] the first author and \textit{M. I. Stessin} introduced the Poletsky-Stessin space associated with an exhaustion function.NEWLINENEWLINEIn the article under review the authors completely characterize those weighted Hardy spaces that are Poletsky-Stessin spaces.NEWLINENEWLINEFor the entire collection see [Zbl 1337.41001].
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