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  1. Article

    Open Access

    Paraproducts for bilinear multipliers associated with convex sets

    We prove bounds in the local \( L^2 \) L 2 ...

    Olli Saari, Christoph Thiele in Mathematische Annalen (2023)

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  2. Article

    Open Access

    Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains

    We construct a stable right inverse for the divergence operator in non-cylindrical domains in space-time. The domains are assumed to be Hölder regular in space and evolve continuously in time. The inverse oper...

    Olli Saari, Sebastian Schwarzacher in Annals of PDE (2023)

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  3. Article

    Open Access

    \(L^p-L^q\) Local Smoothing Estimates for the Wave Equation via k-Broad Fourier Restriction

    We explore the connection between k-broad Fourier restriction estimates and sharp regularity \(L^p-L^q\) ...

    David Beltran, Olli Saari in Journal of Fourier Analysis and Applications (2022)

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  4. Article

    Open Access

    A reverse Hölder inequality for the gradient of solutions to Trudinger’s equation

    We provide a higher integrability result for the gradient of positive solutions to Trudinger’s equation (also known as the doubly non-linear equation) for the range

    Olli Saari, Sebastian Schwarzacher in Nonlinear Differential Equations and Appli… (2022)

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  5. No Access

    Article

    Non-local Gehring Lemmas in Spaces of Homogeneous Type and Applications

    We prove a self-improving property for reverse Hölder inequalities with non-local right-hand side. We attempt to cover all the most important situations that one encounters when studying elliptic and parabolic...

    Pascal Auscher, Simon Bortz, Moritz Egert, Olli Saari in The Journal of Geometric Analysis (2020)

  6. No Access

    Article

    Lipschitz Linearization of the Maximal Hyperbolic Cross Multiplier

    We study the linearized maximal operator associated with dilates of the hyperbolic cross multiplier in dimension two. Assuming a Lipschitz condition and a lower bound on the linearizing function, we obtain ...

    Olli Saari, Christoph Thiele in Journal of Fourier Analysis and Applications (2019)

  7. Article

    Parabolic BMO and the forward-in-time maximal operator

    We study if the parabolic forward-in-time maximal operator is bounded on parabolic \({{\mathrm{BMO}}}\) ...

    Olli Saari in Annali di Matematica Pura ed Applicata (1923 -) (2018)

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  8. No Access

    Article

    Sharp inequalities for one-sided Muckenhoupt weights

    Let \(A_\infty ^+\) A ∞

    Paul Hagelstein, Ioannis Parissis, Olli Saari in Collectanea Mathematica (2018)

  9. No Access

    Article

    Characterizations of interior polar sets for the degenerate p-parabolic equation

    This paper deals with different characterizations of sets of nonlinear parabolic capacity zero, with respect to the parabolic p-Laplace equation. Specifically we prove that certain interior polar sets can be char...

    Benny Avelin, Olli Saari in Journal of Evolution Equations (2017)

  10. No Access

    Article

    Homeomorphisms of the Heisenberg group preserving BMO

    We provide a new geometric proof of Reimann’s theorem characterizing quasiconformal map**s as the ones preserving functions of bounded mean oscillation. While our proof is new already in the Euclidean spaces...

    Riikka Korte, Niko Marola, Olli Saari in Archiv der Mathematik (2016)

  11. No Access

    Article

    Local to global results for spaces of \({{\mathrm{BMO}}}\) type

    We study a class of spaces, \(JN_p\) J ...

    Niko Marola, Olli Saari in Mathematische Zeitschrift (2016)