Leonid Kovalev
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.
Journal: Potential Analysis, 46 (2017), no. 2, 385-391.
DOI: 10.1007/s11118-016-9586-6