Intrinsic rotations of simply connected regions

1 January 1984

journal article
research article
Published by Taylor & Francis in Complex Variables and Elliptic Equations

Vol. 2 (3-4) , 319-326
https://doi.org/10.1080/17476938408814052

Abstract

Let D be a simply connected bounded region in the plane. Let z0εD. Let F θ denote the conformal automorphism of D with . Let Θ be the set of θ ε (0, 2π) such that F θ has a continuous extension to the closure of D. This paper investigates geometric and prime end properties of ðD which can be inferred from properties of Θ.

Keywords

30C35

This publication has 2 references indexed in Scilit:

The Theory of Cluster Sets
Published by Cambridge University Press (CUP) ,1966
Über ein Problem von Herrn C. Carathéodory
Fundamenta Mathematicae, 1924