Now showing items 1-2 of 2

• #### On Weak Weighted Estimates of Martingale Transform ﻿

[OWP-2016-22] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-12)
We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture, which stayed open after Muckenhoupt-Wheeden's conjecture was disproved by Reguera-Thiele.
• #### Sharp constants in the classical weak form of the John-Nirenberg inequality ﻿

[OWP-2013-07] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)
The sharp constants in the classical John-Nirenberg inequality are found by using Bellman function approach.