Muhammed Alan and Nihat Göğüş (PhD '06)
Abstract: In this paper, we prove that a compact set K\subset \mathbb{C}^n 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.
Journal: Potential Anal. 39 (2013), no. 4, 411–415.
DOI: 10.1007/s11118-013-9337-x