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On weak weighted estimates of the martingale transform and a dyadic shift. / Nazarov, Fedor; Reznikov, Alexander; Vasyunin, Vasily; Volberg, Alexander.

In: Analysis and PDE, Vol. 11, No. 8, 01.01.2018, p. 2089-2109.

Research output: Contribution to journal › Article › peer-review

Harvard

Nazarov, F, Reznikov, A, Vasyunin, V & Volberg, A 2018, 'On weak weighted estimates of the martingale transform and a dyadic shift', Analysis and PDE, vol. 11, no. 8, pp. 2089-2109. https://doi.org/10.2140/apde.2018.11.2089

APA

Nazarov, F., Reznikov, A., Vasyunin, V., & Volberg, A. (2018). On weak weighted estimates of the martingale transform and a dyadic shift. Analysis and PDE, 11(8), 2089-2109. https://doi.org/10.2140/apde.2018.11.2089

Vancouver

Nazarov F, Reznikov A, Vasyunin V, Volberg A. On weak weighted estimates of the martingale transform and a dyadic shift. Analysis and PDE. 2018 Jan 1;11(8):2089-2109. https://doi.org/10.2140/apde.2018.11.2089

Author

Nazarov, Fedor ; Reznikov, Alexander ; Vasyunin, Vasily ; Volberg, Alexander. / On weak weighted estimates of the martingale transform and a dyadic shift. In: Analysis and PDE. 2018 ; Vol. 11, No. 8. pp. 2089-2109.

BibTeX

@article{78d200035bc241c186c009dc851a3d0f,
title = "On weak weighted estimates of the martingale transform and a dyadic shift",
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 A1 conjecture for those operators, which stayed open after Muckenhoupt and Wheeden's conjecture was disproved by Reguera and Thiele.",
keywords = "Martingale transform, Weak weighted estimate",
author = "Fedor Nazarov and Alexander Reznikov and Vasily Vasyunin and Alexander Volberg",
year = "2018",
month = jan,
day = "1",
doi = "10.2140/apde.2018.11.2089",
language = "English",
volume = "11",
pages = "2089--2109",
journal = "Analysis and PDE",
issn = "2157-5045",
publisher = "Mathematical Sciences Publishers",
number = "8",

}

RIS

TY - JOUR

T1 - On weak weighted estimates of the martingale transform and a dyadic shift

AU - Nazarov, Fedor

AU - Reznikov, Alexander

AU - Vasyunin, Vasily

AU - Volberg, Alexander

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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 A1 conjecture for those operators, which stayed open after Muckenhoupt and Wheeden's conjecture was disproved by Reguera and Thiele.

AB - 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 A1 conjecture for those operators, which stayed open after Muckenhoupt and Wheeden's conjecture was disproved by Reguera and Thiele.

KW - Martingale transform

KW - Weak weighted estimate

UR - http://www.scopus.com/inward/record.url?scp=85048288222&partnerID=8YFLogxK

U2 - 10.2140/apde.2018.11.2089

DO - 10.2140/apde.2018.11.2089

M3 - Article

AN - SCOPUS:85048288222

VL - 11

SP - 2089

EP - 2109

JO - Analysis and PDE

JF - Analysis and PDE

SN - 2157-5045

IS - 8

ER -

ID: 49878905