On the composition of Frostman Blaschke products
Volume 219 / 2013
Studia Mathematica 219 (2013), 177-191
MSC: Primary 30H05, 47B38; Secondary 49J20.
DOI: 10.4064/sm219-2-7
Abstract
We construct an infinite uniform Frostman Blaschke product $B$ such that $B\circ B$ is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.