The Lempert theorem and the tetrablock
Complex Variables
2016-08-14 v3
Abstract
In the paper we show that the Lempert theorem (i.e. the equality between the Lempert function and the Carath\'eodory distance) holds in the tetrablock, a bounded hyperconvex domain which is not biholomorphic to a convex domain.
Keywords
Cite
@article{arxiv.1006.4883,
title = {The Lempert theorem and the tetrablock},
author = {Armen Edigarian and Lukasz Kosinski and Włodzimierz Zwonek},
journal= {arXiv preprint arXiv:1006.4883},
year = {2016}
}
Comments
to appear in Journal of Geometric Analysis