18 citations · 68 across the 28 of their papers we have counts for
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The Central Limit Theorem for inner functions II
Artur Nicolau, Odí Soler i Gibert
A sharp version of the Central Limit Theorem for linear combinations of iterates of an inner function is proved. The authors previously showed this result assuming a suboptimal con…
Beurling-Carleson sets, inner functions and a semi-linear equation
Oleg Ivrii, Artur Nicolau
Beurling-Carleson sets have appeared in a number of areas of complex analysis such as boundary zero sets of analytic functions, inner functions with derivative in the Nevanlinna cl…
One-component bounded functions
Carlo Bellavita, Artur Nicolau
Three different characterizations of one-component bounded analytic functions are provided. The first one is related to the the inner-outer factorization, the second one is in term…
Convergence of linear combinations of iterates of an inner function
Artur Nicolau
Let be an inner function with which is not a rotation and let be its -th iterate. Let be a sequence of complex numbers. We prove that the series…
Bloch functions and Bekollé-Bonami weights
Adem Limani, Artur Nicolau
We study analogues of well-known relationships between Muckenhoupt weights and in the setting of Bekollé-Bonami weights. For Bekollé-Bonami weights of bounded hyperbolic osci…
A Central Limit Theorem for Inner Functions
Artur Nicolau, Odí Soler i Gibert
A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark meas…
Distortion and Distribution of Sets under Inner Functions
Matteo Levi, Artur Nicolau, Odí Soler i Gibert
It is a classical result that Lebesgue measure on the unit circle is invariant under inner functions fixing the origin. In this setting, the distortion of Hausdorff contents has al…
Traces of the Nevanlinna class on discrete sequences
A Hartmann, X Massaneda, A Nicolau
We show that a discrete sequence of the unit disk is the union of interpolating sequences for the Nevanlinna class if and only if the trace of on coincides with…
Inner Functions in certain Hardy-Sobolev Spaces
Janne Gröhn, Artur Nicolau
For , a description of inner functions whose derivative is in the Hardy space is given in terms of either their mapping properties or the geometric distribution of t…
Finitely generated ideals in the Nevanlinna class
Andreas Hartmann, Xavier Massaneda, Artur Nicolau
In this paper we investigate finitely generated ideals in the Nevanlinna class. We prove analogues to some known results for the algebra of bounded analytic functions .…
Wepable Inner Functions
Alexander Borichev, Artur Nicolau, Pascal J. Thomas
Following Gorkin, Mortini, and Nikolski, we say that an inner function in of the unit disc has the WEP property if its modulus at a point is bounded from below b…
Extremal solutions of Nevalinna-Pick problems and certain classes of inner functions
Nacho Monreal Galán, Artur Nicolau
Consider a scaled Nevanlinna-Pick interpolation problem and let be the Blaschke product whose zeros are the nodes of the problem. It is proved that if belongs to a certain…
Interpolating Sequences for analytic selfmappings of the disc
Nacho Monreal Galán, Artur Nicolau, Pere Menal-Ferrer
Schwarz's Lemma leads to a natural interpolation problem for analytic functions from the disc into itself. The corresponding interpolating sequences are geometrically described in…
Reverse Carleson measures in Hardy spaces
Andreas Hartmann, Xavier Massaneda, Artur Nicolau +1
We give a necessary and sufficient condition for a measure in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefévre,…
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…
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…
The constant of interpolation
Artur Nicolau, Joaquim Ortega-Cerdà, Kristian Seip
We prove that a suitably adjusted version of Peter Jones' formula for interpolation by bounded holomorphic functions gives a sharp upper bound for what is known as the constant of…
Interpolating sequences for the Nevanlinna and Smirnov classes
Andreas Hartmann, Xavier Massaneda, Artur Nicolau
We give an analytic characterisation of the interpolating sequences for the Nevanlinna and Smirnov classes. From this we deduce a necessary and a sufficient geometric condition, bo…