5 citations · 9 across the 13 of their papers we have counts for
19 papers
On the weighted weak-type constant for the dyadic square function
Adam Osekowski
We present an explicit construction of examples showing that the estimate for the dyad…
On the diameter of the stopped spider process
Ewelina Bednarz, Philip A. Ernst, Adam Osekowski
We consider the Brownian ``spider process'', also known as Walsh Brownian motion, first introduced in the epilogue of Walsh 1978. The paper provides the best constant for the…
A dual approach to Burkholder's estimates
Rodrigo Bañuelos, Tomasz Gałązka, Adam Osękowski
The paper contains an alternative proof of the celebrated estimates for differentially subordinate martingales established by Burkholder and Wang in the eighties and nineties…
Burkholder's function and a weighted bound for stochastic integrals
Rodrigo Banuelos, Michal Brzozowski, Adam Osekowski
Let be a continuous-path martingale and let be a stochastic integral, with respect to , of some predictable process with values in . We provide an explicit formu…
Noncommutative Good- Inequalities
Yong Jiao, Adam Osekowski, Lian Wu
We propose a novel approach in noncommutative probability, which can be regarded as an analogue of good- inequalities from the classical case due to Burkholder and Gundy (Acta M…
Weighted square function estimates
Rodrigo Banuelos, Adam Osekowski
The paper contains the proof of -weighted norm inequalities for both, martingales square functions and the classical square functions in harmonic analysis of Littlewood-Paley…