Press photo

Antti Perälä

Main research interests: Complex Analysis, Operator Theory and their applications.

0000-0001-5596-5115

Contact

antti.perala@umu.se

+46 90 786 53 75

Works at

Associate professor at Department of Mathematics and Mathematical Statistics

MIT-huset, plan 3, Matematik och matematisk statistik, MIT.B.337 Umeå universitet, 901 87 Umeå

https://orcid.org/0000-0001-5596-5115

Seminar in Mathematical Modelling and Analysis

Education

2007 Bachelor of Science, University of Helsinki
2008 Master of Science, University of Helsinki
2011 Doctor of Philosophy, University of Helsinki
2017 Title of Docent, University of Eastern Finland

Research

My research focuses on functional analysis, complex variables and operator theory. In particular, I have been interested in various concrete operators (Toeplitz, Hankel, Volterra etc.) on spaces of analytic functions. Common topics are their operator theoretic properties and their spectra, as well as the related optimization problems. I am also interested in applications to other areas of mathematics and science.

Rigidity of Volterra-type integral operators on Hardy spaces of the unit ball

Banach Journal of Mathematical Analysis, Springer Nature 2024, Vol. 18, (3)

Miihkinen, Santeri; Pau, Jordi; Perälä, Antti; et al.

Maximal estimate and integral operators in Bergman spaces with doubling measure

Proceedings of the American Mathematical Society, American Mathematical Society (AMS) 2023, Vol. 151, (7) : 2881-2894

Pang, Changbao; Perälä, Antti; Wang, Maofa; et al.

Essential positivity

Proceedings of the American Mathematical Society, American Mathematical Society (AMS) 2023, Vol. 151, (11) : 4807-4815

Perälä, Antti; Virtanen, Jani

Sub-Hilbert relation for Fock-Sobolev type spaces

New York Journal of Mathematics, Electronic Journals Project 2022, Vol. 28 : 958-969

Eskandari, Setareh; Abkar, Ali; Åhag, Per; et al.