pith. sign in

arxiv: 1703.05835 · v2 · pith:SD5VJSSKnew · submitted 2017-03-16 · 🧮 math.CV

Value regions of univalent self-maps with two boundary fixed points

classification 🧮 math.CV
keywords mathbbpointboundaryfixedself-mapsvalueclassdenjoy
0
0 comments X
read the original abstract

In this paper we find the exact value region $\mathcal V(z_0,T)$ of the point evaluation functional $f\mapsto f(z_0)$ over the class of all holomorphic injective self-maps $f:\mathbb D\to\mathbb D$ of the unit disk $\mathbb D$ having a boundary regular fixed point at $\sigma=-1$ with $f'(-1)=e^{T}$ and the Denjoy - Wolff point at $\tau=1$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.