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E-mail olli.saari@upc.edu
Position Ramon y Cajal Research Fellow
Area Analysis And Partial Differential Equations
Group Analysis And Partial Differential Equations
Saari, Olli
Biosketch

I am a Ramon y Cajal research fellow at the UPC. Previously I have held post-doctoral positions at the Unviersity of Bonn (Germany), Aalto University (Finland) and the Mathematical Sciences Research Institute (the US). I obtained my doctoral degree from Aalto University in 2016 under the supervision of Juha Kinnunen.

Personal Webpage

Other Research Interests

Fourier analysis, elliptic and parabolic partial differential equations

Selected publications
  • O. Saari and S. Schwarzacher, Construction of a right inverse for the divergence in non-cylindrical time dependent domains, Ann. PDE. 9 (2023), Paper No. 8
  • O. Saari and C. Thiele, Paraproducts for bilinear multipliers associated with convex sets, Math. Ann. 385 (2023), 2013–2036.
  • J.P. Ramos, O. Saari and J. Weigt, Weak differentiability for fractional maximal functions of general Lp functions on domains, Adv. Math. 368 (2020), 107144.
  • P. Auscher, S. Bortz, M. Egert and O. Saari, Non-local self-improving properties: a functional analytic approach, Tunis. J. Math. 1 (2019), 151-183.
  • J. Kinnunen and O. Saari, Parabolic weighted norm inequalities and partial differential equations, Anal. PDE 9 (2016), 1711-1736.