16 citations · 17 across the 6 of their papers we have counts for
6 papers
De Branges-Rovnyak spaces and local Dirichlet spaces of higher order
Bartosz Łanucha, Małgorzata Michalska, Maria Nowak +1
We discuss de Branges-Rovnyak spaces generated by nonextreme and rational functions and local Dirichlet spaces of order introduced in [6]. In [6] the author…
Products of compressions of -order slant Toeplitz operators to model spaces
Bartosz Łanucha, Małgorzata Michalska
In this paper we investigate intertwining relations for compressions of --order slant Toeplitz operators to model spaces. We then ask when a product of two such compression…
Compressions of --order slant Toeplitz operators to model spaces
Bartosz Łanucha, Małgorzata Michalska
In this paper we consider compressions of --order slant Toeplitz operators to the backward shift invariant subspaces of the classical Hardy space . In particular, we c…
Some characterizations of asymmetric truncated Toeplitz operators
Bartosz Łanucha, Małgorzata Michalska
It was recently proved that in some special cases asymmetric truncated Toeplitz operators can be characterized in terms of compressed shifts and rank-two operators of special form.…
A generalization of the Clunie--Sheil-Small theorem
Małgorzata Michalska, Andrzej Michalski
In 1984, a simple and useful univalence criterion for harmonic functions was given by Clunie and Sheil-Small, which is usually called the shear construction. However, the applicati…
Necessary condition for compactness of a difference of composition operators on the Dirichlet space
Małgorzata Michalska, Andrzej Michalski
Let be a self-map of the unit disk and let denote the composition operator acting on the standard Dirichlet space . A necessary condition for compactness of…