Characterizations of BMO through commutators of bilinear singular integral operators

Abstract

In this paper we characterize BMO in terms of the boundedness of commutators of various bilinear singular integral operators with pointwise multiplication. In particular, we study commutators of a wide class of bilinear operators of convolution type, including bilinear Calderón-Zygmund operators and the bilinear fractional integral operators.

7 pages, this version proves a more general main theorem which corrects a mistake in the previous version

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