2017
Том 69
№ 6

All Issues

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

Polulyakh E. O.


Abstract

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.

Citation Example: Polulyakh E. O. Trees as set levels for pseudoharmonic functions in the plane. II // Ukr. Mat. Zh. - 2016. - 68, № 2. - pp. 254-270.