3 papers
math.CV2025
On the cyclic behavior of singular inner functions in Besov and sequence spaces
Alberto Dayan, Daniel Seco
We show the existence of singular inner functions that are cyclic in some Besov-type spaces of analytic functions over the unit disc. Our sufficient condition is stated only in ter…
math.FA2025
Simply interpolating and Carleson sequences for Hardy spaces in the polydisc
Nikolaos Chalmoukis, Alberto Dayan
We study the relation between simply and universally interpolating sequences for the holomorphic Hardy spaces on the polydisc. In dimension a sequence is…
math.CV2024
Random Carleson Sequences for the Hardy space on the Polydisc and the Unit Ball
Nikolaos Chalmoukis, Alberto Dayan, Giuseppe Lamberti
We study the Kolmogorov 0-1 law for a random sequence with prescribed radii so that it generates a Carleson measure almost surely, both for the Hardy space on the polydisc and the…