Supports of weighted equilibrium measures: complete characterization

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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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Official URL: http://dx.doi.org/10.1007/s11118-013-9337-x


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
ID Code:21478
Deposited By:Nihat Gökhan Göğüş
Deposited On:06 May 2013 14:37
Last Modified:01 Aug 2019 10:20

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