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Umeå University
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Antti Perälä

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

 

 

 

0000-0001-5596-5115

Contact

E-mail
antti.perala@umu.se
Phone
+46 90 786 53 75

Works at

Affiliation
Associate professor at Department of Mathematics and Mathematical Statistics
Location
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.

 

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.
Weighted integrability of polyharmonic functions in the higher-dimensional case
Analysis & PDE, Mathematical Sciences Publishers (MSP) 2021, Vol. 14, (7) : 2047-2068
Liu, Congwen; Perälä, Antti; Si, Jiajia
Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure
Complex Analysis and Operator Theory, Springer nature 2021, Vol. 15, (3)
Pang, Changbao; Perälä, Antti; Wang, Maofa
View publications in DiVA