18 citations · 68 across the 28 of their papers we have counts for
40 papers
Shift invariant subspaces in the Bloch space
Adem Limani, Artur Nicolau
We consider weak-star closed invariant subspaces of the shift operator in the classical Bloch space. We prove that any bounded analytic function decomposes into two factors, one wh…
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…
Iterates of Blaschke products and Peano curves
Juan Jesús Donaire, Artur Nicolau
Let be a finite Blaschke product with which is not a rotation and let be its -th iterate. Given a sequence of complex numbers consider $F= \sum…
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…