Hi! My name is Bartosz, I am an assistant professor of mathematics at Mälardalen University in Sweden. Previously I was a lecturer in mathematics at KTH Royal Institute of Technology and a doctoral student at Lund University.

I like mathematical analysis in general. My research interests include complex function theory, harmonic analysis and operator theory.

My CV can be found here.

Preprints

- Shift operators, Cauchy integrals and approximations (2023) arXiv:2308.06495
- Revisiting mean-square approximation by polynomials in the unit disk (2023) arXiv:2304.01400

Publications

- Thomson decompositions of measures in the disk

accepted for publication in Transactions of the American Mathematical Society (2023) doi - On the problem of smooth approximations in H(b) and connections to subnormal operators

with Adem Limani, Journal of Functional Analysis 284.5 (2023): 109803. doi - Cyclic inner functions in growth classes and applications to approximation problems

accepted for publication in Canadian Mathematical Bulletin (2022) doi - Construction of some families of smooth Cauchy transforms

with Adem Limani, accepted for publication in Canadian Journal of Mathematics (2023) doi - On model spaces and density of functions smooth on the boundary

with Adem Limani, Revista Matemática Iberoamericana 39, No 3, (2023) doi - An abstract approach to approximations in spaces of pseudocontinuable functions

with Adem Limani, Proceedings of the American Mathematical Society 150, No. 6, 2509-2519 (2022). doi - Generalized Cesàro operators: geometry of spectra and quasi-nilpotency

with Adem Limani, International Mathematics Research Notices 2021.23 (2021): 17695-17707. doi - Hilbert spaces of analytic functions with a contractive backward shift

with Alexandru Aleman, Journal of Functional Analysis 277.1 (2019): 157-199. doi - Spectra of Generalized Cesàro Operators Acting on Growth Spaces

Integral Equations and Operator Theory 90.3 (2018): 26. doi - Density of disk algebra functions in de Branges–Rovnyak spaces

with Alexandru Aleman, Comptes Rendus Mathematique 355.8 (2017): 871-875. doi

Doctoral thesis

- Operator theory on holomorphic function spaces, advisor Alexandru Aleman.

Master thesis

- Zero-divisors and idempotents in group rings, advisor Johan Öinert.

Other unpublished work

Current teaching, Autumn 2023

Work

Address: | Mälardalens universitet, Box 883, 721 23 Västerås, Sweden |

E-mail: | bartosz.malman@mdu.se bartek.malman@gmail.com |