The dual conjecture of Muckenhoupt and Wheeden

  • Adam Osękowski

    University of Warsaw, Poland
The dual conjecture of Muckenhoupt and Wheeden cover

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Abstract

Let be a Calderón–Zygmund operator on . We prove the existence of a constant such that for any weight on satisfying Muckenhoupt's condition , we have

The linear dependence on , the characteristic of , is optimal. The proof exploits the associated dimension-free inequalities for dyadic shifts.

Cite this article

Adam Osękowski, The dual conjecture of Muckenhoupt and Wheeden. Rev. Mat. Iberoam. 37 (2021), no. 6, pp. 2285–2308

DOI 10.4171/RMI/1264