IUMJ

Title: A refined Agler decomposition and geometric applications

Authors: Greg Knese

Issue: Volume 60 (2011), Issue 6, 1831-1842

Abstract:

We prove a refined Agler decomposition for bounded analytic functions on the bidisk and show how it can be used to re-prove 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.