Adam Oskekowski

most citedContradictory predictions with multiple agents

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.OA2022

The sharp weighted maximal inequalities for noncommutative martingales

Tomasz Gałązka, Yong Jiao, Adam Osękowski +1

The purpose of the paper is to establish weighted maximal $L_{p}$ -inequalities in the context of operator-valued martingales on semifinite von Neumann algebras. The main emphasis is…

math.PR2022★ 1 cited

Contradictory predictions with multiple agents

Stanisław Cichomski, Adam Osękowski

Let $X_{1}$ , $X_{2}$ , $\dots$ , $X_{n}$ be a sequence of coherent random variables, i.e., satisfying the equalities $X_{j} = P (A ∣ G_{j}), j = 1, 2, \dots, n,$ almo…

math.PR2022

Doob's estimate for coherent random variables and maximal operators on trees

Stanisław Cichomski, Adam Osękowski

Let $ξ$ be an integrable random variable defined on $(Ω, F, P)$ . Fix $k \in Z_{+}$ and let ${G_{i}^{j}}_{1 \leq i \leq n, 1 \leq j \leq k}$ be a refe…

math.FA2018

The Hilbert transform and orthogonal martingales in Banach spaces

Adam Osękowski, Ivan Yaroslavtsev

Let $X$ be a given Banach space and let $M$ , $N$ be two orthogonal $X$ -valued local martingales such that $N$ is weakly differentially subordinate to $M$ . The paper contains the pr…