A refined Agler decomposition and geometric applications
Complex Variables
2022-03-04 v1 Functional Analysis
Abstract
We prove a refined Agler decomposition for bounded analytic functions on the bidisk and show how it can be used to reprove an interesting result of Guo et al. related to extending holomorphic functions without increasing their norm. In addition, we give a new treatment of Heath and Suffridge's characterization of holomorphic retracts on the polydisk.
Cite
@article{arxiv.1009.4922,
title = {A refined Agler decomposition and geometric applications},
author = {Greg Knese},
journal= {arXiv preprint arXiv:1009.4922},
year = {2022}
}
Comments
11 pages