A. Aleman

collaborators

2 papers

math.FA2025

Cyclicity and iterated logarithms in the Dirichlet space

Alexandru Aleman, Stefan Richter

Let $D (I^¼)$ denote a harmonically weighted Dirichlet space on the unit disc $D$ . We show that outer functions $f \in D (I^¼)$ are cyclic in $D (I^¼)$ , whenever $lo g f$ belongs…

math.CV2025

Composition of analytic paraproducts

Alexandru Aleman, Carme Cascante, Joan FÃ brega +2

For a fixed analytic function $g$ on the unit disc $D$ , we consider the analytic paraproducts induced by $g$ , which are defined by $T_{g} f (z) = \int_{0}^{z} f (I^¶) g^{'} (I^¶) d I^¶$ , $S…