6 citations · 6 across the 2 of their papers we have counts for
4 papers
Interpolation in the Nevanlinna class and harmonic majorants
A. Hartmann, X. Massaneda, A. Nicolau +1
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 har…
Equivalence of summatory conditions along sequences for bounded holomorphic functions
Vladimir Ya. Eiderman, Pascal J. Thomas
A sequence of points in the unit disk is said to be thin for a given decrease function , if there is a nontrivial bounded holomorphic function such that the infinite serie…
Decrease of bounded holomorphic functions along discrete sets
Jordi Pau, Pascal J. Thomas
We provide results of uniqueness for holomorphic functions in the Nevanlinna class bridging those previously obtained by Hayman and Lyubarskii-Seip. Namely, we propose certain clas…
Algebras generated by two bounded holomorphic functions
Michael I. Stessin, Pascal J. Thomas
We study the closure in the Hardy space or the disk algebra of algebras generated by two bounded functions, of which one is a finite Blaschke product. We give necessary and suffici…