On Weak Weighted Estimates of Martingale Transform

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Date
2016-11-12MFO Scientific Program
Research in Pairs 2016Series
Oberwolfach Preprints;2016,22Author
Nazarov, Fedor
Reznikov, Alexander
Vasyunin, Vasily
Volberg, Alexander
Metadata
Show full item recordOWP-2016-22
Abstract
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.