An Update on the Compactness of Bilinear Commutators

Árpád Bényi, Rodolfo H. Torres

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We survey some established results as well as some recent progresses in the study of the compactness of commutators of bilinear singular integrals with pointwise multiplication, and present a previously anticipated result related to the commutator with the Bilinear Hilbert Transform.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherBirkhauser
Pages83-100
Number of pages18
DOIs
StatePublished - 2025

Publication series

NameApplied and Numerical Harmonic Analysis
VolumePart F50
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

ASJC Scopus Subject Areas

  • Applied Mathematics

Keywords

  • 47B07; Secondary: 42B25
  • 47G99
  • Bilinear operators
  • Calderón-Zygmund theory
  • Commutators
  • Compact operators
  • Fractional integrals
  • Primary: 42B20
  • Singular integrals
  • Weighted estimates

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