Common bounded universal functions for composition operators
Frédéric Bayart, Sophie Grivaux, and Raymond Mortini
Source: Illinois J. Math. Volume 52, Number 3 (2008), 995-1006.
Abstract
Let be the set of automorphisms of the unit disk with 1 as attractive fixed point. We prove that there exists a single Blaschke product that is universal for every composition operator Cϕ,
, acting on the unit ball of
.
Primary Subjects: 47A16, 47B33
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ijm/1254403727
Zentralblatt MATH identifier:
05615681
2009 © University of Illinois at Urbana-Champaign, Department of Mathematics
Illinois Journal of Mathematics
