加权平衡测度的支撑及实例
Supports of Weighted Equilibrium Measures and Examples
摘要：
我们分析了$\mathbb{C}^n$中加权平衡测度的支持度。我们给出了明确的例子家庭的紧集出现的支持加权平衡测度的一些容许重量$w$。这些例子也给出了Lelong类中多重次调和函数的新构造。我们还包括一个开放的问题列表上的支持极值措施，这是有关的解决方案的Monge-{A}mpère方程。
英文摘要：
We analyze the supports of weighted equilibrium measures in $\mathbb{C}^n$. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible weight $w$. These examples also give new constructions of plurisubharmonic functions in the Lelong class. We also include a list of open problems on the support of extremal measures which are related to solutions of Monge-{A}mpère equations.
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。
