论文标题
点源均衡问题与加权正交域的连接
Point Source Equilibrium Problems with Connections to Weighted Quadrature Domains
论文作者
论文摘要
我们探讨了平衡度量的支持与正交身份的支撑之间的连接，尤其是在添加到外部字段$ q（z）= | z | |^{2p} $中的点源与$ p \ in \ mathbb {n} $的情况下。在此过程中，我们描述了一些关于加权区域的数量$ | z |^{2p} da_z $和复杂边界测量$ | z |^{ - 2p} dz $的一些正交域。
We explore the connection between supports of equilibrium measures and quadrature identities, especially in the case of point sources added to the external field $Q(z)=|z|^{2p}$ with $p \in \mathbb{N}$. Along the way, we describe some quadrature domains with respect to weighted area measure $|z|^{2p}dA_z$ and complex boundary measure $|z|^{-2p}dz$.
