Jordan曲线上关于跳奇异测度的Christoffel函数
Christoffel functions on Jordan curves with respect to measures with jump singularity
摘要：
在本文中，我们建立了渐近结果的Christoffel函数的措施支持的约旦曲线有一个Radon-Nikodym衍生物的跳跃奇异性。我们扩展的结果支持的区间$ [-1,1] $更一般的集合，例如系统的约旦曲线，使用多项式逆像的措施。它表明，渐近极限可以写在平衡测度或格林函数。
英文摘要：
In this paper we establish asymptotic results for Christoffel functions with respect to measures supported on Jordan curves having a Radon-Nikodym derivative with a jump singularity. We extend the results known for measures supported in the interval $ [-1,1] $ to more general sets, for example a system of Jordan curves, using polynomial inverse images. It is shown that the asymptotic limit can be written in terms of the equilibrium measure or Green's function.
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