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
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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