In this talk, we first recall the background of the Calder/'on commutator and connection between the Calder/'on commutator and the Cauchy integral along Lipschits curve, boundary value problems on bounded domains, bilinear Hilbert transforms. Then we give some  Calder/'on type commutators, which are the extensions of the Calder/'on commutator. Finally, we present our recent works on Calder/'on type commutators.

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