Bartosz Malman

activity

20222024

collaborators

4 papers

math.CV2024

Embeddings into de Branges-Rovnyak spaces

Bartosz Malman, Daniel Seco

We study conditions for containment of a given space $X$ of analytic functions on the unit disk $D$ in the de Branges-Rovnyak space $H (b)$ . We deal with the non-…

math.CV2023

Shift operators, Cauchy integrals and approximations

Bartosz Malman

This article consists of two connected parts. In the first part, we study the shift invariant subspaces in certain $P^{2} (μ)$ -spaces, which are the closures of analytic pol…

math.FA2023

Revisiting mean-square approximation by polynomials in the unit disk

Bartosz Malman

For a positive finite Borel measure $μ$ compactly supported in the complex plane, the space $P^{2} (μ)$ is the closure of the analytic polynomials in the Lebesgue space $L^2…

math.FA2022

Thomson decompositions of measures in the disk

Bartosz Malman

We study the classical problem of identifying the structure of $P^{2} (μ)$ , the closure of analytic polynomials in the Lebesgue space $L^{2} (μ)$ of a compactly supported Borel measure $…