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Traces of the Nevanlinna class on discrete sequences

2017/02/16 by Hartmann, A, Massaneda, X, Nicolau, A
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.04974

Abstract

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.

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