An example concerning Sadullaev's boundary relative extremal functions

Jan Wiegerinck

An example concerning Sadullaev's boundary relative extremal functions

Complex Variables 2018-05-16 v1

Authors: Jan Wiegerinck

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 the inequality $\omega_1(z,K,\Omega)<\omega_2(z,K,\Omega)\le \omega(z,K,\Omega)$ .

Keywords

bounded domains pseudoconvex domains function spaces and inequalities

Cite

@article{arxiv.1805.05329,
  title  = {An example concerning Sadullaev's boundary relative extremal functions},
  author = {Jan Wiegerinck},
  journal= {arXiv preprint arXiv:1805.05329},
  year   = {2018}
}

Comments

3 pages

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