Cyclicity in Dirichlet type spaces

Karim Kellay (1) , Florian Le Manach (1) , Mohamed Zarrabi (1)

1 IMB - Institut de Mathématiques de Bordeaux

We study cyclicity in the Dirichlet type spaces for outer functions whose zero set is countable.

Mots clés: Bergman spaces; Smirnov space; cyclic vectors; Dirichlet spaces

Domaines: Variables complexes [math.CV]; Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]

Karim Kellay, Florian Le Manach, Mohamed Zarrabi. Cyclicity in Dirichlet type spaces. Complex Analysis and Spectral Theory. 181–193, Contemp. Math., 743, Amer. Math. Soc., Providence, RI, [2020], May 2018, Québéc, Canada. pp.181-193. ⟨hal-01941825v2⟩