5 papers
Inner approximations of doubling weights with applications to Beurling-Malliavin theory in Toeplitz kernels
Alex Bergman
A meromorphic inner function is a bounded holomorphic function in the upper half-plane which is unimodular on the real line and extends to a meromorphic function in the whole compl…
A remark on the Beurling-Malliavin theorem in several variables
Alex Bergman
We use a lifting trick to show that the Beurling-Malliavin multiplier theorem extends to radial functions in several variables in a straightforward way. This simplifies an argument…
Hörmander's Inequality and Point Evaluations in de Branges Space
Alex Bergman
Let be an entire function of finite exponential type less than or equal to which is bounded by on the real axis and satisfies . Under these assumptions Hörm…
Invariant Subspaces for Generalized Differentiation and Volterra Operators
Alexandru Aleman, Alex Bergman
In this paper we provide a far-reaching generalization of the existent results about invariant subspaces of the differentiation operator on $C^\inft…
A Sharp Entropy Condition For The Density Of Angular Derivatives
Alex Bergman
Let be a holomorphic self-map of the unit disc. We show that if is integrable on a sub-arc of the unit circle, , then the set of points where t…