Pamela Gorkin – Gorkin, Pamela and Akeroyd, John. “Constructing Frostman-Blaschke Products and Applications to Operators on Weighted Bergman Spaces.” J. Operator Theory 74, no. 1 (2015) : 149-175.

Pamela Gorkin, Professor of Mathematics

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.

Gorkin, Pamela and Akeroyd, John. “Constructing Frostman-Blaschke Products and Applications to Operators on Weighted Bergman Spaces.” J. Operator Theory 74, no. 1 (2015) : 149-175.

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