1 citations · 1 across the 6 of their papers we have counts for
9 papers
classes in the Dirichlet range: inner-outer factorization, Carleson measures and weak products
Alberto Dayan, Adrián Llinares, Miguel Monsalve-López
We study properties of spaces in the Dirichlet range, recently defined by Brevig, Kulikov, Seip and Zlotnikov as the set of all holomorphic functions on the unit disc $\mat…
Restrictions of Békollé--Bonami weights and Bloch functions
Alberto Dayan, Adrián Llinares, Karl-Mikael Perfekt
We characterize the restrictions of Békollé--Bonami weights of bounded hyperbolic oscillation, to subsets of the unit disc, thus proving an analogue of Wolff's restriction theorem…
Simply interpolating sequences in complete Pick spaces
Nikolaos Chalmoukis, Alberto Dayan, Michael Hartz
We characterize simply interpolating sequences (also known as onto interpolating sequences) for complete Pick spaces. We show that a sequence is simply interpolating if and only if…
Interpolating d-tuples of Matrices
Alberto Dayan
We study interpolating sequences of -tuples of matrices, by looking at the commuting and the non-commuting case separately. In both cases, we will give a characterization of suc…
Weakly Separated Bessel Systems of Model Spaces
Alberto Dayan
We show that any weakly separated Bessel system of model spaces in the Hardy space on the unit disc is a Riesz system and we highlight some applications to interpolating sequences…
Random Interpolating Sequences in the Polydisc and the Unit Ball
Alberto Dayan, Brett D. Wick, Shengkun Wu
We study almost sure separating and interpolating properties of random sequences in the polydisc and the unit ball. In the unit ball, we obtain the 0-1 Komolgorov law for a sequenc…
Interpolating Matrices
Alberto Dayan
We extend Carleson's interpolation Theorem to sequences of matrices, by giving necessary and sufficient separation conditions for a sequence of matrices to be interpolating.
Hausdorff Measures, Dyadic Approximations and Dobiński Set
Alberto Dayan, José L. Fernández, María J. González
Dobiński set is an exceptional set for a certain infinite product identity, whose points are characterized as having exceedingly good approximations by dyadic rationa…
Zeros of Normalized Sections of Non Convergent Power Series
Alberto Dayan
A well known result due to Carlson affirms that a power series with finite and positive radius of convergence R has no Ostrowski gaps if and only if the sequence of zeros of its nt…