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.

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An Update on the Compactness of Bilinear Commutators

  • Árpád Bényi,
  • Rodolfo H. Torres

摘要

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.