Olli Saari

I am post-doc at the University of Bonn. I obtained D.Sc. (Tech.) in Mathematics at Aalto University (Finland) under supervision of Juha Kinnunen. My research interests include harmonic analysis, PDE and their interaction. In particular, I have been studying parabolic PDE, weighted norm inequalities and maximal functions.

Curriculum Vitae

Research papers

  1. P. Auscher, S. Bortz, M. Egert and O. Saari, Non-local self-improving properties: a functional analytic approach, submitted.
  2. P. Auscher, S. Bortz, M. Egert and O. Saari, Non-local Gehring lemmas, submitted.
  3. P. Auscher, S. Bortz, M. Egert and O. Saari, On regularity of weak solutions to parabolic systems, submitted.
  4. O. Saari and C. Thiele, Lipschitz linearization of the maximal hyperbolic cross multiplier, submitted.
  5. O. Saari, Poincaré inequalities for the maximal function, submitted.
  6. O. Saari, Parabolic BMO and the forward-in-time maximal operator, submitted.
  7. P. Hagelstein, I. Parissis and O. Saari, Sharp inequalities for one-sided Muckenhoupt weights, Collect. Math. (link).
  8. B. Avelin and O. Saari, Characterizations of interior polar sets for the degenerate p-parabolic equation, J. Evol. Equ. 17 (2017), 827-848.
  9. J. Kinnunen and O. Saari, On weights satisfying parabolic Muckenhoupt conditions, Nonlinear Anal. 131 (2016), 289-299.
  10. R. Korte, N. Marola and O. Saari, Homeomorphisms of the Heisenberg group preserving BMO, Arch. Math. (Basel) 106 (2016), 175-182.
  11. J. Kinnunen and O. Saari, Parabolic weighted norm inequalities and partial differential equations, Anal. PDE. 9 (2016), 1711-1736.
  12. O. Saari, Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations, Rev. Mat. Iberoam. 32 (2016), 1001-1018.
  13. N. Marola and O. Saari, Local to global results for spaces of BMO type, Math. Z. 282 (2016), 473-484.
Doctoral Thesis (2016), Weights arising from parabolic partial differential equations.
Master's Thesis (2013), Lokaalista globaaliin -tuloksia John-Nirenberg-epäyhtälöille, in Finnish.

Slides of some talks