Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\) (Q1122036)
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scientific article; zbMATH DE number 4105348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\) |
scientific article; zbMATH DE number 4105348 |
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Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\) (English)
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1989
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Sei \(\Omega\) ein beschränktes, glatt berandetes und pseudokonvexes Gebiet im \({\mathbb{C}}^ 2\), und sei \(z^ 0\in \partial \Omega\) ein Randpunkt von endlichem Typ. In vorliegender Arbeit werden präzise Abschätzungen der Bergman'schen Kernfunktion \(K_{\Omega}(, )\) und deren Ableitungen auf \(\Omega\) \(\times \Omega\) nahe \((z^ 0,z^ 0)\) gegeben.
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Bergman kernel function
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boundary behaviour
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