On the Convergence of Optimal Measures

被引：0
|
作者：
T. Bloom
L. Bos
N. Levenberg
S. Waldron
机构：
[1] University of Toronto,Department of Mathematics
[2] University of Calgary,Department of Mathematics and Statistics
[3] Indiana University,Department of Mathematics
[4] University of Auckland,Department of Mathematics
来源：
Constructive Approximation | 2010年 / 32卷
关键词：
Weighted optimal measure; Weighted transfinite diameter; Weighted equilibrium measure; 32U20; 41A63;
D O I：
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中图分类号：
学科分类号：
摘要：
Using recent results of Berman and Boucksom (arXiv:0807.0035), we show that for a nonpluripolar compact set K⊂ℂd and an admissible weight function w=e−φ, any sequence of optimal measures converges weak-star to the equilibrium measure μK,φ of (weighted) pluripotential theory for K,φ.
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页码：159 / 179
页数：20
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