Supports of weighted equilibrium measures: complete characterization

Alan, Muhammed Ali and Göğüş, Nihat Gökhan (2013) Supports of weighted equilibrium measures: complete characterization. Potential Analysis, 39 (4). pp. 411-415. ISSN 0926-2601 (Print) 1572-929X (Online)

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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 of weighted equilibrium measures completely. Our proof is a new proof even in one dimension.
Item Type: Article
Uncontrolled Keywords: Weighted pluripotential theory, Extremal measures, Monge–Ampère equation
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Nihat Gökhan Göğüş
Date Deposited: 06 May 2013 14:37
Last Modified: 26 Apr 2022 09:04
URI: https://research.sabanciuniv.edu/id/eprint/21478

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