An elementary proof of the Ohsawa-Takegoshi extension theorem (Q2858131)
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scientific article; zbMATH DE number 6229388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof of the Ohsawa-Takegoshi extension theorem |
scientific article; zbMATH DE number 6229388 |
Statements
An elementary proof of the Ohsawa-Takegoshi extension theorem (English)
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19 November 2013
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Hormander \(L^2\) estimates
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holomorphic extension
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0.9423001
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0.9219956
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0.91993856
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0.89312726
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The paper contains a different proof of the famous Ohsawa-Takegoshi theorem on the extension of a holomorphic function defined on an intersection of a hyperplane and a bounded pseudoconvex domain to the whole domain with the control of a weighted \(L^2\) norm of the function. The proof is based on a variant of Hörmander's \(L^2\) estimates for the \(\overline{\partial}\) operator.
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