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arXiv:1612.03958 [math.AP]AbstractReferencesReviewsResources

On weak weighted estimates of martingale transform

Fedor Nazarov, Alexander Reznikov, Vasily Vasyunin, Alexander Volberg

Published 2016-12-12Version 1

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.

Comments: 25 pages
Categories: math.AP, math.CA, math.FA
Subjects: 42B20, 42B35, 47A30, F.2.2
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