Supports of Weighted Equilibrium Measures: Complete Characterization
Abstract
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.
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