On the harmonic measure and capacity of rational lemniscates (Q259208)
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scientific article; zbMATH DE number 6554165
| Language | Label | Description | Also known as |
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| English | On the harmonic measure and capacity of rational lemniscates |
scientific article; zbMATH DE number 6554165 |
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On the harmonic measure and capacity of rational lemniscates (English)
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11 March 2016
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The authors investigate the lemniscates of rational maps. The starting point is a question posed by Y. Younsi concerning in capacities of components of the limniscate of a good rational function. Earlier works of Dubinin, Solynin, Ehenfelt, Khavinson and Shapiro (among others) are mentioned. The reflection principle for harmonic measures is proved as well as a version of Schwarz's lemma for the capacity of the lemniscates of proper holomorphic functions.
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rational functions
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lemniscates
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harmonic measure
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capacity
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Lindelöf principle
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