A. Osȩkowski

activity

20112026

most citedWeighted square function estimates

5 citations · 9 across the 13 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

math.PR2013

Sharp maximal $L^{p}$ -estimates for martingales

Rodrigo Bañuelos, Adam Osekowski

Let $X$ be a supermartingale starting from $0$ which has only nonnegative jumps. For each $0 < p < 1$ we determine the best constants $c_{p}$ , $C_{p}$ and $c_{p}$ such that $$ \,\…

math.CA2013

Weighted norm inequalities for fractional maximal operators--a Bellman function approach

Rodrigo Banuelos, Adam Osekowski

We study classical weighted $L^{p} \to L^{q}$ inequalities for the fractional maximal operators on $R^{d}$ , proved originally by Muckenhoupt and Wheeden in the 70's. We establish a sligh…

math.PR2013

On Astala's theorem for martingales and Fourier multipliers

Rodrigo Banuelos, Adam Osekowski

We exhibit a large class of symbols $m$ on $R^{d}$ , $d \geq 2$ , for which the corresponding Fourier multipliers $T_{m}$ satisfy the following inequality. If $D$ , $E$ are measurable sub…

math.PR2013

Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space

Rodrigo Banuelos, Adam Osekowski

We prove new sharp $L^{p}$ , logarithmic, and weak-type inequalities for martingales under the assumption of differentially subordination. The $L^{p}$ estimates are "Fyenman-Kac" type v…

Sharp maximal Lp-estimates for martingales

Weighted norm inequalities for fractional maximal operators--a Bellman function approach

On Astala's theorem for martingales and Fourier multipliers

Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space

Sharp maximal $L^{p}$ -estimates for martingales