An example concerning Sadullaev’s boundary relative extremal functions
Volume 123 / 2019
Annales Polonici Mathematici 123 (2019), 505-508
MSC: 32U05, 32U20.
DOI: 10.4064/ap180604-19-6
Published online: 9 July 2018
Abstract
We exhibit a smoothly bounded domain $\Omega $ with the property that for suitable $K\subset \partial \Omega $ and $z\in \Omega $ the Sadullaev boundary relative extremal functions satisfy $\omega _1(z,K,\Omega )<\omega _2(z,K,\Omega )\le \omega (z,K,\Omega )$.
