Supports of Weighted Equilibrium Measures: Complete Characterization
Complex Variables
2012-10-30 v1
Abstract
In this paper, we prove that a compact set 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.
Cite
@article{arxiv.1210.7554,
title = {Supports of Weighted Equilibrium Measures: Complete Characterization},
author = {Muhammed Ali Alan and Nihat Gokhan Gogus},
journal= {arXiv preprint arXiv:1210.7554},
year = {2012}
}
Comments
5 pages