On weak weighted estimates of martingale transform
Analysis of PDEs
2018-06-13 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the conjecture of Muckenhoupt, which stayed open after Muckenhoupt--Wheeden's conjecture was disproved by Reguera--Thiele.
Keywords
Cite
@article{arxiv.1612.03958,
title = {On weak weighted estimates of martingale transform},
author = {Fedor Nazarov and Alexander Reznikov and Vasily Vasyunin and Alexander Volberg},
journal= {arXiv preprint arXiv:1612.03958},
year = {2018}
}
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25 pages