On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture

Andrei K. Lerner, Fedor Nazarov, Sheldy Ombrosi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We construct an example showing that the upper bound [w]A1 log(e+[w]A1) for the L1(w) → L1,∞(w) norm of the Hilbert transform cannot be improved in general.

Original languageEnglish
Pages (from-to)1939-1954
Number of pages16
JournalAnalysis and PDE
Volume13
Issue number6
DOIs
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 Mathematical Sciences Publishers.

Keywords

  • Hilbert transform
  • Maximal operator
  • Weighted inequalities

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