Balayage of measures: behavior near a corner
Balayage of measures: behavior near a corner
Consider the balayage measure $\nu = \mathrm{Bal}(\mu,\partial \Omega)$, where $\Omega$ is a finitely connected Jordan domain and $\mu$ is a probability measure on $\Omega$. Suppose $\partial \Omega$ has a H\"older-$C^1$ corner of opening $\pi \alpha$ at a point $z_0 \in \partial \Omega$ for some $0 < \alpha \leq 2$ and …