Domains with finite dimensional Bergman space (Q790300)
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scientific article; zbMATH DE number 3847749
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Domains with finite dimensional Bergman space |
scientific article; zbMATH DE number 3847749 |
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Domains with finite dimensional Bergman space (English)
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1984
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We give examples of Reinhardt domains in \({\mathbb{C}}^ 2\) with Bergman space of arbitrary finite dimension. The construction is easily extended to domains in \({\mathbb{C}}^ n\) with \(n\geq 3\). However, we show that for domains in \({\mathbb{C}}\) the dimension of the Bergman space is 0 or \(\infty\).
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square integrable holomorphic functions
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Reinhardt domains
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dimension of the Bergman space
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