On weak weighted estimates of martingale transform
classification
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math.CAmath.FA
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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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