Skip to content
Licensed Unlicensed Requires Authentication Published by Oldenbourg Wissenschaftsverlag September 25, 2009

Compositional universality in the N-dimensional ball

  • L. Bernal-González , A. Bonilla and M.C. Calderón-Moreno
From the journal Analysis

It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously if and only if its corresponding sequence of composition operators is universal on the Hardy space of such ball, and if and only if there exists a dense linear manifold of universal functions. Our result completes earlier ones by several authors.

Received: 2005-11-29
Published Online: 2009-9-25
Published in Print: 2006-9-1

© Oldenbourg Wissenschaftsverlag

Downloaded on 29.3.2024 from https://www.degruyter.com/document/doi/10.1524/anly.2006.26.99.365/html
Scroll to top button