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…
Sharp Invertibility in Quotient Algebras of
Alexander Borichev, Artur Nicolau, Myriam Ounaïes +1
We consider inner functions with the zero set such that the quotient algebra satisfies the Strong Invertibility Property (SIP), that is f…
Mixing and ergodicity of compositions of inner functions
Gustavo Rodrigues Ferreira, Artur Nicolau
We study ergodic and mixing properties of non-autonomous dynamics on the unit circle generated by inner functions fixing the origin.
Analytic mappings of the unit disk which almost preserve hyperbolic area
Oleg Ivrii, Artur Nicolau
In this paper, we study analytic self-maps of the unit disk which distort hyperbolic area of large hyperbolic disks by a bounded amount. We give a number of characterizations invol…