A. Osȩkowski

activity

20112026

most citedWeighted square function estimates

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

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Showing 2011Show all

3 papers · 1 filter

math.PR2011

Burkholder inequalities for submartingales, Bessel processes and conformal martingales

Rodrigo Bañuelos, Adam Osȩkowsk

The motivation for this paper comes from the following question on comparison of norms of conformal martingales $X$ , $Y$ in $R^{d}$ , $d \geq 2$ . Suppose that $Y$ is differentially su…

math.PR2011

Martingales and Sharp Bounds for Fourier multipliers

Rodrigo Bañuelos, Adam Oȩkowski

Using the argument of Geiss, Montgomery-Smith and Saksman \cite{GMSS}, and a new martingale inequality, the $L^{p}$ --norms of certain Fourier multipliers in $R^{d}$ , $d \geq 2$ , are id…

math.OA2011

Noncommutative maximal inequalities associated with convex functions

Turdebek N. Bekjan, Zeqian Chen, Adam Osȩkowski

We prove several noncommutative maximal inequalities associated with convex functions, including a Doob type inequality for a convex function of maximal operators on noncommutative…