Seminario di Analisi Complessa

Dipartimento di Matematica

Università di Roma Tor Vergata

Organizzatori: Filippo Bracci , Leandro Arosio, Eleonora Di Nezza

Prossimi seminari:

Pouriya Torkinejad Ziarati,  Université Paul Sabatier Toulouse. Examples of critically cyclic functions in the Dirichlet spaces of

the ball

Martedì 27 Novembre 2026 ore 16:00 aula D'Antoni

Abstract: In this work, we construct examples of holomorphic functions in the Dirichlet space of the ball in C^2, for which there exists an index a in [1/2,2] such that the function is cyclic in b-Dirichlet space if and only if b is bounded above by a. To this end, we use the notion of interpolation sets in smooth ball algebras, as studied by Bruna-Ortega and Chaumat-Chollet.