Off-Diagonal Estimates for Bi-Commutators

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Abstract

We study the bi-commutators [T-1, [b, T-2]] of pointwise multiplication and Calderon-Zygmund operators and characterize their (LLp2)-L-p1 -> (LLq2)-L-q1 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p(1), p(2)) not equal (q(1), q(2)). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.
Original languageEnglish
Article number239
JournalInternational Mathematics Research Notices
Volume2022
Issue number23
Pages (from-to)18766–18832
Number of pages67
ISSN1073-7928
DOIs
Publication statusPublished - 6 Dec 2022
MoE publication typeA1 Journal article-refereed

Fields of Science

  • 111 Mathematics
  • Singular-integrals
  • Product bmo
  • Riesz commutators
  • Covering lemma
  • Calderon
  • Extension

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