Green函数与Lempert函数：一个最小的例子
Green vs. Lempert functions: a minimal example
摘要：
通过在所有经过极点和点$z$的解析圆盘上取一定的下确界，得到了在点$z$处的$\mathbb C^n$域中极点集合的Lempert函数，并优化了相应的多极复格林函数.科曼证明，这两个重合的情况下，集的两极在单位球。我们给出了一个例子，一组三个极点的单位球，这种平等失败。
英文摘要：
The Lempert function for a set of poles in a domain of $\mathbb C^n$ at a point $z$ is obtained by taking a certain infimum over all analytic disks going through the poles and the point $z$, and majorizes the corresponding multi-pole pluricomplex Green function. Coman proved that both coincide in the case of sets of two poles in the unit ball. We give an example of a set of three poles in the unit ball where this equality fails.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
