Nevanlinna counting function and pull back measure

Omar El-Fallah (1) , Karim Kellay (2)

1 Département de Mathématiques
2 IMB - Institut de Mathématiques de Bordeaux

We give an explicit relation between the Nevanlinna counting function of an analytic self-map of the unit disk and its pull-back measure. This gives a simple proof of the results of Lefèvre, Li, Queffélec and Rodriguez-Piazza [3]

Mots clés: composition operators; pull back measure; Nevanlinna counting function

Domaines: Variables complexes [math.CV]; Analyse fonctionnelle [math.FA]

Omar El-Fallah, Karim Kellay. Nevanlinna counting function and pull back measure. Proceedings of the American Mathematical Society, 2016, 144 (6), pp.2559-2564. ⟨hal-01107904v2⟩