3 papers
math.CV2025
Brennan's conjecture holds for semigroups of holomorphic functions
Alexandru Aleman, Athanasios Kouroupis
In the present note, we give a short proof of Brennan's conjecture in the special case of continuous semigroups of holomorphic functions. We apply classical techniques of complex a…
math.FA2025
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…
math.FA2024
Generalized de Branges-Rovnyak spaces
Alexandru Aleman, Frej Dahlin
Given the reproducing kernel of the Hilbert space we study spaces whose reproducing kernel has the form , where is a row-contr…