Pluripolar graphs are holomorphic (Q2495345)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pluripolar graphs are holomorphic |
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Pluripolar graphs are holomorphic (English)
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6 July 2006
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The main result asserts that let \(\Omega\) be a domain in \(\mathbb{C}^n\) and let \(f: \Omega \rightarrow \mathbb{C}\) be a continuous function, then the graph \(\Gamma(f)\) of \(f\) is a pluripolar subset of \(\mathbb{C}^{n+1}\) if and only if \(f\) is holomorphic.
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pluripolar graph
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holomorphic function
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