A subordination Principle. Applications to Carleson measures and interpolating sequences in convex domains of finite type.

Eric Amar (1)

1 IMB - Institut de Mathématiques de Bordeaux

The subordination principle states roughly : if a property is true for Hardy spaces in some kind of domains in $C^n$ then it is also true for the Bergman spaces of the same kind of domains in $C^{n-1}. We give applications of this principle to Bergman-Carleson measures, interpolating sequences for Bergman spaces, $A^p$ Corona theorem and characterization of the zeros set of Bergman-Nevanlinna class.

Mots clés: Carleson measures; interpolating sequences

Domaines: Variables complexes [math.CV]

Eric Amar. A subordination Principle. Applications to Carleson measures and interpolating sequences in convex domains of finite type.. 2011. ⟨hal-00591845v1⟩