## Faculty Journal Articles

#### Title

Constructing Frostman-Blaschke Products and Applications to Operators on Weighted Bergman Spaces

Summer 2015

#### Description

We give an example of a uniform Frostman--Blaschke product B, whose spectrum is a Cantor set, such that the composition operator C_B is not closed-range on any weighted Bergman space A_{\alpha}^p, answering two questions posed in recent papers. We include some general observations about these Blaschke products. Using methods developed in our first example, we improve upon a theorem of V.I. Vasjunin concerning the rate at which the zeros of a uniform Frostman--Blaschke product approach the unit circle.

#### Journal

J. Operator Theory

74

1

149

175

Mathematics

COinS