Extensions of bounded holomorphic functions on the tridisk
Complex Variables
2017-11-29 v1
Abstract
We study sets in the tridisc that are relatively polynomially convex and have the polynomial extension property. If is one-dimensional, and is either algebraic, or has polynomially convex projections, we show that it is a retract. If is two-dimensional, we show that either it is a retract, or, for any choice of the coordinate functions, it is the graph of a function of two variables.
Keywords
Cite
@article{arxiv.1711.10422,
title = {Extensions of bounded holomorphic functions on the tridisk},
author = {Lukasz Kosinski and John McCarthy},
journal= {arXiv preprint arXiv:1711.10422},
year = {2017}
}
Comments
33 pages