1 citations · 1 across the 11 of their papers we have counts for
12 papers
Uniqueness sets in weighted -spaces via simultaneous approximation
Linus Bergqvist, Adem Limani, Bartosz Malman
We consider a family of uniqueness problems in the setting of weighted Fourier spaces on the unit-circle, from the perspective of simultaneous approximation. We develop a…
Revisiting cyclic elements in growth spaces
Linus Bergqvist, Adem Limani, Bartosz Malman
We revisit the problem of characterizing cyclic elements for the shift operator in a broad class of radial growth spaces of holomorphic functions on the unit disk, focusing on func…
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…
Shift invariant subspaces in growth spaces and sets of finite entropy
Adem Limani
We investigate certain classes of shift invariant subspaces in growth spaces on the unit disc of the complex plane determined by a majorant , which include the classical Korenbl…
Constructions of some families of smooth Cauchy transforms
Adem Limani, Bartosz Malman
For a given Beurling-Carleson subset of the unit circle which has positive Lebesgue measure, we give explicit formulas for measurable functions supported on su…
Inner functions, invariant subspaces and cyclicity in -spaces
Adem Limani, Bartosz Malman
We study the invariant subspaces generated by inner functions for a class of -spaces which can be identified as spaces of analytic functions in the unit disk $\ma…
On the problem of smooth approximations in de Branges-Rovnyak spaces and connections to subnormal operators
Adem Limani, Bartosz Malman
For the class of de Branges-Rovnyak spaces of the unit disk defined by extreme points of the unit ball of , we study the problem of appr…
An abstract approach to approximations in spaces of pseudocontinuable functions
Adem Limani, Bartosz Malman
We give an abstract approach to approximations with a wide range of regularity classes in spaces of pseudocontinuable functions , where is an inner f…
Sparse Lerner operators in infinite dimensions
Adem Limani, Sandra Pott
We use the principle of almost orthogonality to give a new and simple proof that a sparse Lerner operator is bounded on a matrix- or operator-weighted space , where …
On model spaces and density of functions smooth on the boundary
Adem Limani, Bartosz Malman
We characterize the model spaces in which functions with smooth boundary extensions are dense. It is shown that such approximations are possible if and only if the singular m…
Bloch functions and Bekollé-Bonami weights
Adem Limani, Artur Nicolau
We study analogues of well-known relationships between Muckenhoupt weights and in the setting of Bekollé-Bonami weights. For Bekollé-Bonami weights of bounded hyperbolic osci…
Generalized Cesàro operators: geometry of spectra and quasi-nilpotency
Adem Limani, Bartosz Malman
For the class of Hardy spaces and standard weighted Bergman spaces of the unit disk we prove that the spectrum of a generalized Cesàro operator is unchanged if the symbol …