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In this article we study two classical problems in convex geometry associated to $\mathcal{A}$-harmonic PDEs, quasi-linear elliptic PDEs whose structure is modeled on the $p$-Laplace equation. Let… (More)

- Olli Saari
- 2014

We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially… (More)

- J. Kinnunen, Olli Saari
- 2016

Abstract This note collects results related to parabolic Muckenhoupt A p weights for a doubly nonlinear parabolic partial differential equation. A general approach is proposed, which extends the… (More)

- Benny Avelin, Olli Saari
- 2015

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… (More)

A functional analytic approach to obtaining self-improving properties of solutions to linear non-local elliptic equations is presented. It yields conceptually simple and very short proofs of some… (More)

- J. Kinnunen, Olli Saari
- 2016

We investigate parabolic Muckenhoupt weights and functions of bounded mean oscillation (BMO) related to nonlinear parabolic partial dierential equations. The main result gives a full characterization… (More)

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… (More)

This study examined the effects of a theater-based improvisation method for promoting student-teachers’ self-rated social interaction competence. 39 undergraduate students participated in an… (More)

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… (More)