paper

Universality of Automorphisms on the Ball of Bounded Holomorphic Functions on the Polydisk

arXiv:1910.01945 · doi:10.1016/j.jmaa.2019.123581

Abstract

Given a sequence of automorphisms of the polydisk, we show that the associated composition semigroup homomorphisms on the ball of bounded holomorphic functions on the polydisk admit a universal inner function if a certain condition on the automorphisms are satisfied.

7 pages. Submitted