## Publicacions Matemàtiques

### Generalized quasidisks and conformality

#### Abstract

We introduce a weaker variant of the concept of linear local connectivity, sufficient to guarantee the extendability of a conformal map $f\colon\mathbb D\to\Omega$ to the entire plane as a homeomorphism of locally exponentially integrable distortion. Additionally, we show that a conformal map as above cannot necessarily be extended in this manner if we assume that $\Omega$ is the image of $\mathbb D$ under a self-homeomorphism of the plane that has locally exponentially integrable distortion.

#### Article information

Source
Publ. Mat., Volume 58, Number 1 (2014), 193-212.

Dates
First available in Project Euclid: 20 December 2013