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On weak weighted estimates of the martingale transform and a dyadic shift. / Nazarov, Fedor; Reznikov, Alexander; Vasyunin, Vasily; Volberg, Alexander.
в: Analysis and PDE, Том 11, № 8, 01.01.2018, стр. 2089-2109.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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