Schwarz Lemma for the tetrablock
Complex Variables
2014-02-26 v1
Abstract
We describe all complex geodesics in the tetrablock passing through the origin thus obtaining the form of all extremals in the Schwarz Lemma for the tetrablock. Some other extremals for the Lempert function and geodesics are also given. The paper may be seen as a continuation of the results Abouhajar, White and Young. The proofs rely on a necessary form of complex geodesics in general domains which is also proven in the paper.
Keywords
Cite
@article{arxiv.0803.2058,
title = {Schwarz Lemma for the tetrablock},
author = {A. Edigarian and W. Zwonek},
journal= {arXiv preprint arXiv:0803.2058},
year = {2014}
}
Comments
10 pages