Universality of automorphisms on the ball of bounded holomorphic functions on the polydisk

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

Clos, Timothy G.¹ 

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

关键词: Universality;    Automorphisms;    Bounded holomorphic functions;    Sernigroup;    Inner function;    Polydisk;   

DOI  :  10.1016/j.jmaa.2019.123581

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free