On weak weighted estimates of martingale transform

Alexander Reznikov; Alexander Volberg; Fedor Nazarov; Vasily Vasyunin

arxiv: 1612.03958 · v1 · pith:EU4BKK6Tnew · submitted 2016-12-12 · 🧮 math.AP · math.CA· math.FA

On weak weighted estimates of martingale transform

Fedor Nazarov , Alexander Reznikov , Vasily Vasyunin , Alexander Volberg This is my paper

classification 🧮 math.AP math.CAmath.FA

keywords conjectureestimatesweakapproachbellmanconsiderdisprovedisproved

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We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture of Muckenhoupt, which stayed open after Muckenhoupt--Wheeden's conjecture was disproved by Reguera--Thiele.

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On weak weighted estimates of martingale transform

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