Multiple sampling and interpolation in Bergman spaces

Driss Aadi (1) , Carlos Cruz (2) , Andreas Hartmann (3) , Karim Kellay (3)

1 CeReMAR - LAMA
2 Departament de Matematiques i Informatica, Universitat de Barcelona
3 IMB - Institut de Mathématiques de Bordeaux

We study multiple sampling and interpolation problems with unbounded multiplicities in the weighted Bergman space, both in the hilbertian case p = 2 and the uniform case p = +∞.

Mots clés: Bergman space; multiple interpolation; multiple sampling; uniqueness set; zero divisors

Domaines: Variables complexes [math.CV]

Driss Aadi, Carlos Cruz, Andreas Hartmann, Karim Kellay. Multiple sampling and interpolation in Bergman spaces. Journal of Functional Analysis, 2023. ⟨hal-03566576⟩