Quasiconformal Extensions to Space of Weierstrass-Enneper LiftsReport as inadecuate



 Quasiconformal Extensions to Space of Weierstrass-Enneper Lifts


Quasiconformal Extensions to Space of Weierstrass-Enneper Lifts - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Quasiconformal Extensions to Space of Weierstrass-Enneper Lifts
We derive a quasiconformal extension to 3-space of the Weierstrass-Enneper lifts of a class of harmonic mappings defined in the unit disk. The extension is based on fibrations of space by circles in domain and image that correspond to each other in a natural way. Convexity plays an essential role in the analysis. As a corollary we derive a sufficient condition for the underlying harmonic mapping to be univalent in the disk, with an explicit quasiconformal extension to the extended plane that generalizes the well known formula by Ahlfors-Weill.



Author: Martin Chuaqui; Peter Duren; Brad Osgood

Source: https://archive.org/







Related documents