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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…