On the Möbius distance (Q2769230)
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scientific article; zbMATH DE number 1701127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Möbius distance |
scientific article; zbMATH DE number 1701127 |
Statements
5 February 2002
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extremal problems on multiple connected domains
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proper map
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extremal problems
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0.8969027
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0.8746368
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0.8670245
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0.8646009
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0.8642857
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On the Möbius distance (English)
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The author looks for a purely analytic approach to Ahlfors-Grunsky results on extremal problems for holomorphic maps of finitely connected domains in \(\mathbb{C}\) to the unit disk. He deduces properness and other properties of extremal maps from certain statements on meromorphic functions on finitely connected domains. The statements (Propositions 1 and 2) can be in fact obtained from the Ahlfors-Grunsky results, and a call for their analytic proofs is made.
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