3 citations · 4 across the 8 of their papers we have counts for
9 papers
From local to global asymptotic behaviour of orthogonal polynomials
Roman Bessonov, Artur Nicolau
Let be the sequence of reflected orthogonal polynomials on the unit circle generated by a measure of Szegő class, and let be the Szegő f…
The Law of the iterated logaritm for smooth functions
José G. Llorente, Artur Nicolau
A version of the Law of the Iterated Logarithm for smooth functions in the upper-half space is proved. As a consequence, we show that certain size conditions on the gradient and th…
Contractive analytic self-mappings of the disc
Artur Nicolau
Analytic self-maps of the unit disc whose hyperbolic derivative is uniformly bounded by a constant smaller than one, are called contractive. We describe these maps in terms of thei…
Carleson Measures, Vanishing Mean Oscillation and Critical Points
Carlo Bellavita, Artur Nicolau, Georgios Stylogiannis
Given a finite positive Borel measure in the open unit disc of the complex plane, we construct a bounded outer function whose boundary values have vanishing mean oscillatio…
Analytic mappings of the unit disk with bounded compression
Oleg Ivrii, Artur Nicolau
In this paper, we study analytic self-maps of the unit disk for which the hyperbolic diameters of the images of hyperbolic balls of radius 1 are uniformly bounded below. We give se…
Inner Functions, Möbius Distortion and Angular Derivatives
Konstantinos Bampouras, Artur Nicolau
We prove that an inner function has finite -entropy if and only if its accumulated Möbius distortion is in , . We also study the support of the po…