English

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

Complex Variables 2022-04-18 v1

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.

Keywords

Cite

@article{arxiv.1910.01945,
  title  = {Universality of Automorphisms on the Ball of Bounded Holomorphic Functions on the Polydisk},
  author = {Timothy G. Clos},
  journal= {arXiv preprint arXiv:1910.01945},
  year   = {2022}
}

Comments

7 pages. Submitted