Browsing by Author "Volberg, Alexander"
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On Weak Weighted Estimates of Martingale Transform [OWP-2016-22] Nazarov, Fedor; Reznikov, Alexander; Vasyunin, Vasily; Volberg, Alexander (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] Vasyunin, Vasily; Volberg, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)The sharp constants in the classical John-Nirenberg inequality are found by using Bellman function approach.