June 6, 2018Open Access

On weak weighted estimates of the martingale transform and a dyadic shift

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Abstract

We consider weak-type estimates for several singular operators using the Bellman-function approach. In particular, we consider a concrete dyadic shift. We disprove the math conjecture for those operators, which stayed open after Muckenhoupt and Wheeden’s conjecture was disproved by Reguera and Thiele.

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Nazarov et al. (Wed,) studied this question.

synapsesocial.com/papers/69dd49885ea84e5556100e37 https://doi.org/https://doi.org/10.2140/apde.2018.11.2089

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