Title

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

Publication Date

2015

Journal

Journal of Operator Theory

Volume

74

Issue

1

First Page

149

Last Page

175

Abstract

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.

DOI

10.7900/jot.2014may14.2026

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