Olli Saari

activity

20142026

most citedNon-local self-improving properties: A functional analytic approach

26 citations · 138 across the 26 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CA2016★ 5 cited

Poincaré inequalities for the maximal function

Olli Saari

We study generalized Poincaré inequalities. We prove that if a function satisfies a suitable inequality of Poincaré type, then the Hardy-Littlewood maximal function also obeys a me…

math.AP2016★ 10 cited

Parabolic BMO and the forward-in-time maximal operator

Olli Saari

We study if the parabolic forward-in-time maximal operator is bounded on parabolic BMO. It turns out that for non-negative functions the answer is positive, but the behaviour of si…

math.CA2016

Sharp inequalities for one-sided Muckenhoupt weights

Paul A. Hagelstein, Ioannis Parissis, Olli Saari

Let $A_{\infty}^{+}$ denote the class of one-sided Muckenhoupt weights, namely all the weights $w$ for which $M^{+} : L^{p} (w) \to L^{p, \infty} (w)$ for some $p > 1$ , where $\mathsf M^+…