Condenser capacity and hyperbolic diameter
Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic diameter t and apply novel numerical methods to show that it has larger...
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| Main Author: | Mohamed M.S., Nasser (author) |
|---|---|
| Other Authors: | Rainio, Oona (author), Vuorinen, Matti (author) |
| Format: | article |
| Published: |
2021
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1016/j.jmaa.2021.125870 https://www.sciencedirect.com/science/article/pii/S0022247X21009525 http://hdl.handle.net/10576/52959 |
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