5 citations · 9 across the 13 of their papers we have counts for
11 papers · 1 filter
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…
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…
Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers
Rodrigo Banuelos, Adam Osekowski
We study stability estimates for the almost extremal functions associated with the -bound for the real and imaginary parts of the Beurling-Ahlfors operator. The proof exploits…
On the Bellman function of Nazarov, Treil and Volberg
Rodrigo Banuelos, Adam Osekowski
We give an explicit formula for the Bellman function associated with the dual bound related to the unconditional constant of the Haar system.