18 citations · 95 across the 21 of their papers we have counts for
3 papers · 2 filters
Extremizers and sharp weak-type estimates for positive dyadic shifts
Guillermo Rey, Alexander Reznikov
We find the exact Bellman function for the weak norm of local positive dyadic shifts. We also describe a sequence of functions, self-similar in nature, which in the limit ext…
Extremizers and Bellman function for martingale weak type inequality
Alexander Reznikov, Vasiliy Vasyunin, Alexander Volberg
We give an exact formula for the Bellman function of the weak type of martingale transform. We also give the extremal functions (actually extremal sequences of functions). We find…
Bellman approach to the one-sided bumping for weighted estimates of Calderón--Zygmund operators
Fedor Nazarov, Alexander Reznikov, Alexander Volberg
We give again (see also arXiv:1112.0676) a proof of weighted estimate of any Calderón-Zygmund operator. This is under a universal sharp sufficient condition that is weaker than the…