A. Osȩkowski

activity

20162020

most citedWeighted square function estimates

5 citations · 5 across the 1 of their papers we have counts for

collaborators

4 papers

math.PR2020

A dual approach to Burkholder's $L^{p}$ estimates

Rodrigo Bañuelos, Tomasz Gałązka, Adam Osękowski

The paper contains an alternative proof of the celebrated $L^{p}$ estimates for differentially subordinate martingales established by Burkholder and Wang in the eighties and nineties…

math.PR2020

Burkholder's function and a weighted $L^{2}$ bound for stochastic integrals

Rodrigo Banuelos, Michal Brzozowski, Adam Osekowski

Let $X$ be a continuous-path martingale and let $Y$ be a stochastic integral, with respect to $X$ , of some predictable process with values in $[- 1, 1]$ . We provide an explicit formu…

math.PR2017★ 5 cited

Weighted square function estimates

Rodrigo Banuelos, Adam Osekowski

The paper contains the proof of $L^{p}$ -weighted norm inequalities for both, martingales square functions and the classical square functions in harmonic analysis of Littlewood-Paley…

math.CA2016

Sharp Weighted $L^{2}$ inequalities for square functions

Rodrigo Banuelos, Adam Osekowski

Using Bellman function approach, we present new proofs of weighted $L^{2}$ inequalities for square functions, with the optimal dependence on the $A_{2}$ characteristics of the weight a…

A dual approach to Burkholder's Lp estimates

Burkholder's function and a weighted L2 bound for stochastic integrals

Weighted square function estimates

Sharp Weighted L2 inequalities for square functions

A dual approach to Burkholder's $L^{p}$ estimates

Burkholder's function and a weighted $L^{2}$ bound for stochastic integrals

Sharp Weighted $L^{2}$ inequalities for square functions