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On dominating sets for nevanlinna class (I)
Journal article   Peer reviewed

On dominating sets for nevanlinna class (I)

So-Chin Chen
Taiwanese Journal of Mathematics, Vol.15(4), pp.1829-1840
08/2011

Abstract

Dominating set Nevanlinna class Singular inner function
In this article we prove that a subset E of the open unit disc U is a dominating set for the subclass N + of the Nevanlinna class N if and only if E is nontangentially dense. When E is a compact subset of U, we also give a complete characterization of E to be a dominating set for the subclass N - . Here N - denotes the proper subclass of N that consists of all of the reciprocal of the singular inner functions.

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