Date: |
2014 |
Abstract: |
We introduce a weaker variant of the concept of linear local connectivity, sufficient to guarantee the extendability of a conformal map f : D → Ω 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 Ω is the image of D under a self-homeomorphism of the plane that has locally exponentially integrable distortion. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Homeomorphism of nite distortion |
Published in: |
Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 193-212, ISSN 2014-4350 |