Mathematisches Institut |

Endenicher Allee 60 |

D - 53115 Bonn |

Office: N2.009 |

Tel: +49 228 73-2510 |

E-mail: saari at math dot uni-bonn dot de |

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

- C. Pérez, T. Picon, O. Saari and M. Sousa, Regularity of maximal functions on Hardy-Sobolev spaces, submitted.
- P. Auscher, S. Bortz, M. Egert and O. Saari, Non-local self-improving properties: a functional analytic approach, submitted.
- P. Auscher, S. Bortz, M. Egert and O. Saari, Non-local Gehring lemmas, submitted.
- P. Auscher, S. Bortz, M. Egert and O. Saari, On regularity of weak solutions to parabolic systems, submitted.
- O. Saari and C. Thiele, Lipschitz linearization of the maximal hyperbolic cross multiplier, J. Fourier Anal. Appl. (link).
- O. Saari, Poincaré inequalities for the maximal function, submitted.
- O. Saari, Parabolic BMO and the forward-in-time maximal operator, submitted.
- P. Hagelstein, I. Parissis and O. Saari, Sharp inequalities for one-sided Muckenhoupt weights, Collect. Math. (link).
- B. Avelin and O. Saari, Characterizations of interior polar sets for the degenerate p-parabolic equation, J. Evol. Equ. 17 (2017), 827-848.
- J. Kinnunen and O. Saari, On weights satisfying parabolic Muckenhoupt conditions, Nonlinear Anal. 131 (2016), 289-299.
- R. Korte, N. Marola and O. Saari, Homeomorphisms of the Heisenberg group preserving BMO, Arch. Math. (Basel) 106 (2016), 175-182.
- J. Kinnunen and O. Saari, Parabolic weighted norm inequalities and partial differential equations, Anal. PDE. 9 (2016), 1711-1736.
- O. Saari, Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations, Rev. Mat. Iberoam. 32 (2016), 1001-1018.
- N. Marola and O. Saari, Local to global results for spaces of BMO type, Math. Z. 282 (2016), 473-484.

Master's Thesis (2013), Lokaalista globaaliin -tuloksia John-Nirenberg-epäyhtälöille, in Finnish.

- Regularity of the maximal function and Poincaré inequalities,

University of Bonn (11.11.2016), BCAM (27.6.2017). - Parabolic BMO and the forward-in-time maximal operator,

University of Helsinki (The conference Singular integrals and partial differential equations 26.5.2016), El Escorial (15.6.2016). - Exceptional sets for the p-parabolic equation,

University of Helsinki (22.1.2016), BCAM (Summer School on Harmonic analysis and PDE 7.7.2016). - Weights from parabolic PDE,

Aalto University (The conference HAPDE2015 9.6.2015), University of the Basque Country (2.10.2015), University of Bonn (6.11.2015), University of Málaga (27.11.2015), Universitat Autònoma de Barcelona (14.12.2015).