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Generalized Cesàro Operators: Geometry of Spectra and Quasi-Nilpotency
For the class of Hardy spaces and standard weighted Bergman spaces of the unit disk we prove that the spectrum of a generalized Ces\`aro operator $T_g$ is unchanged if the symbol $g$ is perturbed to
On model spaces and density of functions regular on the boundary
We characterize the model spaces KΘ in which functions with smooth boundary extensions are dense. It turns out that such approximation is possible if and only if the singular measure associated to
Constructions of some families of smooth Cauchy transforms
For a given Beurling-Carleson subset E of the unit circle T which has positive Lebesgue measure, we give explicit formulas for measurable functions supported on E such that their Cauchy transforms
Sparse Lerner operators and domination in infinite dimensions
We use the principle of almost orthogonality to give a new and simple proof that a sparse Lerner operator is bounded on a operatorweighted space L2W (μ), where μ is a locally finite positive measure
On the problem of smooth approximations in de Branges-Rovnyak spaces and connections to subnormal operators
For the class of de Branges-Rovnyak spaces H(b) of the unit disk D defined by extreme points b of the unit ball of H, we study the problem of approximation of a general function in H(b) by a function
An abstract approach to approximations in spaces of pseudocontinuable functions
We give an abstract approach to approximations with a wide range of regularity classes X in spaces of pseudocontinuable functions K p θ, where θ is an inner function and p > 0. More precisely, we
Bloch functions and Bekoll\'e-Bonami weights
We study analogues of well-known relationships between Muckenhoupt weights and $BMO$ in the setting of Bekolle-Bonami weights. For Bekolle-Bonami weights of bounded hyperbolic oscillation, we provide
Sinus surgery in children: Trends in Kosovo over a nine-year period
Sinus complication surgery in children is decreasing in Kosovo not only because of treatment with aggressive antibiotic therapy, but also because of primary surgical interventions such as septoplasty, adenoidectomy and nasal polypectomy.
A ug 2 02 1 Inner functions , invariant subspaces and cyclicity in P t ( μ )-spaces
We study the invariant subspaces generated by inner functions for a class of Pt(μ)-spaces which can be identified as spaces of analytic functions in the unit disk D, where μ is a measure supported in