Interpolation in the Nevanlinna and Smirnov classes and harmonic majorants
Langue
en
Article de revue
Ce document a été publié dans
J. Funct. Anal. 217. 2004, vol. 217, p. 1-37
Résumé en anglais
We consider a free interpolation problem in Nevanlinna and Smirnov classes and find a characterization of the corresponding interpolating sequences in terms of the existence of harmonic majorants of certain functions. We ...Lire la suite >
We consider a free interpolation problem in Nevanlinna and Smirnov classes and find a characterization of the corresponding interpolating sequences in terms of the existence of harmonic majorants of certain functions. We also consider the related problem of characterizing positive functions in the disk having a harmonic majorant. An answer is given in terms of a dual relation which involves positive measures in the disk with bounded Poisson balayage. We deduce necessary and sufficient geometric conditions, both expressed in terms of certain maximal functions.< Réduire
Mots clés en anglais
free interpolation
Smirnov and Nevanlinna class
harmonic majorants
Poisson balayage
Origine
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