Abstract
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) |
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Pages (from-to) | 1-7 |
Number of pages | 7 |
Journal | Potential Analysis |
DOIs | |
State | Accepted/In press - Aug 31 2016 |
Keywords
- Conformal map
- Green’s function
- Harmonic measure
ASJC Scopus subject areas
- Analysis