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.

Original languageEnglish
Pages (from-to)2089-2109
Number of pages21
JournalAnalysis and PDE
Volume11
Issue number8
DOIs
StatePublished - 1 Jan 2018

    Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

    Research areas

  • Martingale transform, Weak weighted estimate

ID: 49878905