We give a concrete sufficient condition for a simply-connected domain to be the image of the unit disk under a nonexpansive conformal map. This class of domains is also characterized by having sufficiently dense harmonic measure. The relation with the harmonic measure provides a natural higher-dimensional analogue of this problem, which is also addressed.
|Original language||English (US)|
|Number of pages||7|
|State||Published - Feb 1 2017|
- Conformal map
- Green’s function
- Harmonic measure
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