X Massaneda

Traces of the Nevanlinna class on discrete sequences

We show that a discrete sequence $Λ$ of the unit disk is the union of $n$ interpolating sequences for the Nevanlinna class $N$ if and only if the trace of $N$ on $Λ$ coincides with the space of functions on $Λ$ for which the divided differences of order $n - 1$ are uniformly controlled by a positive harmonic function.