A. Aleman

activity

20042024

most citedThe Smirnov class for spaces with the complete Pick property

38 citations · 171 across the 23 of their papers we have counts for

collaborators

31 papers

math.FA2024

Cyclicity and iterated logarithms in the Dirichlet space

Alexandru Aleman, Stefan Richter

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

math.FA2023

Cyclicity and iterated logarithms in the Drury-Arveson space

Alexandru Aleman, Karl-Mikael Perfekt, Stefan Richter +2

Let $H_{d}^{2}$ be the Drury-Arveson space, and let $f \in H_{d}^{2}$ have bounded argument and no zeros in $B_{d}$ . We show that $f$ is cyclic in $H_{d}^{2}$ if and only if $lo g f$ bel…

math.FA2023

Cyclicity in the Drury-Arveson space and other weighted Besov spaces

Alexandru Aleman, Karl-Mikael Perfekt, Stefan Richter +2

Let $H$ be a space of analytic functions on the unit ball $B_{d}$ in $C^{d}$ with multiplier algebra $Mult (H)$ . A function $f\in \mathcal{H…

math.FA2022★ 1 cited

Free outer functions in complete Pick spaces

Alexandru Aleman, Michael Hartz, John E. McCarthy +1

Jury and Martin establish an analogue of the classical inner-outer factorization of Hardy space functions. They show that every function $f$ in a Hilbert function space with a norm…

math.CV2021

Composition of analytic paraproducts

Alexandru Aleman, Carme Cascante, Joan Fàbrega +2

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

math.FA2021

The common range of co-analytic Toeplitz operators on the Drury-Arveson space

Alexandru Aleman, Michael Hartz, John E. McCarthy +1

We characterize the common range of the adjoints of cyclic multiplication operators on the Drury--Arveson space. We show that a function belongs to this common range if and only if…