Equilibrium problems associated with fast decreasing polynomials
Equilibrium problems associated with fast decreasing polynomials
复制标题
与快速递减多项式相关的平衡问题
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
P. Dragnev
中科院分区：
文献类型：
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作者：
A. Kuijlaars;P. Dragnev
在实线上的加权多项式理论中，确定在外场作用下的平衡测度的支撑度是很重要的。这里我们给出一个一般条件，保证支承至多由两个区间组成。将此推广到与快速递减多项式有关的外场，推广了Totik和Kuijlaars-Van Assche的前人结果。在证明中，我们使用了由Dragnev最先研究的迭代平衡算法。
The determination of the support of the equilibrium measure in the presence of an external field is important in the theory of weighted polynomials on the real line. Here we present a general condition guaranteeing that the support consists of at most two intervals. Applying this to the external fields associated with fast decreasing polynomials, we extend previous results of Totik and Kuijlaars-Van Assche. In the proof we use the iterated balayage algorithm which was first studied by Dragnev.