Abstract
We study the lemniscates of rational maps. We prove a reflection principle for the harmonic measure of rational lemniscates and we give estimates for their capacity and the capacity of their components. Also, we prove a version of Schwarz’s lemma for the capacity of the lemniscates of proper holomorphic functions.
Original language | English |
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Pages (from-to) | 249-261 |
Number of pages | 13 |
Journal | Potential Analysis |
Volume | 44 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1 2016 |
Keywords
- Harmonic measure
- Lemniscates
- Lindelöf principle
- Logarithmic capacity
- Rational functions