Trees as set levels for pseudoharmonic functions in the plane. II

• Date: 2016
• Main Authors: Polulyakh, E. O., Полулях, Є. О.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1838
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $T$ be a forest formed by finitely many locally finite trees. Let $V_0$ be the set of all vertices of $T$ of degree 1. We propose a sufficient condition for the image of an embedding $\Psi : T \setminus V_0 \rightarrow R^2$ to be a level set of a pseudoharmonic function.