10 citations · 100 across the 53 of their papers we have counts for
3 papers · 2 filters
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…
Harmonic and superharmonic majorants on the disk
Alexander Borichev, Artur Nicolau, Pascal J. Thomas
We prove that a positive function on the unit disk admits a harmonic majorant if and only if a certain logarithmic Lipschitz upper envelope of it (relevant because of the Harnack i…