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

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

Publications

  1. Thomson decompositions of measures in the disk
    accepted for publication in Transactions of the American Mathematical Society (2023) doi
  2. 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
  3. Cyclic inner functions in growth classes and applications to approximation problems
    accepted for publication in Canadian Mathematical Bulletin (2022) doi
  4. Construction of some families of smooth Cauchy transforms
    with Adem Limani, accepted for publication in Canadian Journal of Mathematics (2023) doi
  5. On model spaces and density of functions smooth on the boundary
    with Adem Limani, Revista Matemática Iberoamericana 39, No 3, (2023) doi
  6. 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
  7. Generalized Cesàro operators: geometry of spectra and quasi-nilpotency
    with Adem Limani, International Mathematics Research Notices 2021.23 (2021): 17695-17707. doi
  8. Hilbert spaces of analytic functions with a contractive backward shift
    with Alexandru Aleman, Journal of Functional Analysis 277.1 (2019): 157-199. doi
  9. Spectra of Generalized Cesàro Operators Acting on Growth Spaces
    Integral Equations and Operator Theory 90.3 (2018): 26. doi
  10. Density of disk algebra functions in de Branges–Rovnyak spaces
    with Alexandru Aleman, Comptes Rendus Mathematique 355.8 (2017): 871-875. doi

Doctoral thesis


Master thesis


Other unpublished work

Work

Address: Mälardalens universitet,
Box 883,
721 23 Västerås,
Sweden
E-mail: bartosz.malman@mdu.se
bartek.malman@gmail.com