On two weight estimates for iterated commutators

Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos

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4 Scopus citations


In this paper we extend the bump conjecture and a particular case of the separated bump conjecture with logarithmic bumps to iterated commutators Tbm. Our results are new even for the first order commutator Tb1. A new bump type necessary condition for the two-weighted boundedness of Tbm is obtained as well. We also provide some results related to a converse to Bloom's theorem.

Original languageEnglish
Article number109153
JournalJournal of Functional Analysis
Issue number8
StatePublished - 15 Oct 2021

Bibliographical note

Funding Information:
The first author was supported by ISF grant No. 447/16 and ERC Starting Grant No. 713927 . The second and third authors were supported by CONICET PIP 11220130100329CO and Agencia I+D+i PICT 2018-02501 . The third author was supported by Agencia I+D+i PICT 2019-00018 .

Publisher Copyright:
© 2021 Elsevier Inc.


  • Calderón-Zygmund operators
  • Commutators
  • Sparse operators
  • Weighted inequalities


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