2012/10/29 by Alan, Muhammed Ali, Gogus, Nihat Gokhan
#32U15 #32W20 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1210.7554
In this paper, we prove that a compact set K⊂ ℂn is the support of a weighted equilibrium measure if and only it is not pluripolar at each of its points extending a result of Saff and Totik to higher dimensions. Thus, we characterize the supports weighted equilibrium measures completely. Our proof is a new proof even in one dimension.