Bergman kernels for almost spherical domains with boundaries of the class \(H^\sigma\) (Q1781344)
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scientific article; zbMATH DE number 2182828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bergman kernels for almost spherical domains with boundaries of the class \(H^\sigma\) |
scientific article; zbMATH DE number 2182828 |
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Bergman kernels for almost spherical domains with boundaries of the class \(H^\sigma\) (English)
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24 June 2005
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The author studies the behavior of the Bergman kernels on almost spherical strictly pseudoconvex domains in \(\mathbb C^n\). Several first terms of the asymptotics for the Bergman kernel of a domain of \(H^\sigma\)-smooth boundary, \(4<\sigma<6\), are found. New terms in comparison with the case of \(C^6\)-smooth boundary appear but the growth rate of the remainder remains the same.
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Bergman kernel
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pseudoconvex domain
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