Tuomas Oikari

activity

20232025

collaborators

3 papers

math.CA2025

Domains with globally exponentially integrable parabolic forward-in-time BMO

Kim Myyryläinen, Tuomas Oikari, Olli Saari

We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characteriz…

math.FA2024

Testing compactness of linear operators

Timo S. Hänninen, Tuomas V. Oikari

Let $(F_{i})$ be a sequence of sets in a Banach space $X$ . For what sequences does the condition $i \to \infty lim sup f_{i} \in F_{i} sup ∥ T f_{i} ∥_{Y} = 0$ hold for every Banach spac…

math.CA2023

On the $L^{p}$ -to- $L^{q}$ boundedness and compactness of commutators along monomial curves

Tuomas Oikari

For exponents $p, q \in (1, \infty),$ we study the $L^{p}$ -to- $L^{q}$ boundedness and compactness of the commutator $[b, H_{γ}] = b H_{γ} - H_{γ} b,$ where $H_{γ}$ is the Hilbert transform along the…

Domains with globally exponentially integrable parabolic forward-in-time BMO

Testing compactness of linear operators

On the Lp-to-Lq boundedness and compactness of commutators along monomial curves

On the $L^{p}$ -to- $L^{q}$ boundedness and compactness of commutators along monomial curves