Analysis by discs

Eric Amar (1)

1 IMB - Institut de Mathématiques de Bordeaux

We prove that the composition of a function in the Hardy class H^p of the unit ball B in C^n with an analytic disc is in the Bergman class of the unit disc. Then we use it to show that the natural "analysis by discs" fails in the case of H^p(B) interpolating sequences for finite p.

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

Eric Amar. Analysis by discs. 2004. ⟨hal-00583954⟩