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.

arXiv comment7 pages, this version proves a more general main theorem which corrects a mistake in the previous version

Cited by in corpus (8)

• Weak Factorizations of the Hardy space $H^1({\mathbb{R}}^n)$ in terms of Multilinear Riesz Transforms
• Two weight norm inequalities for fractional integral operators and commutators
• Two-Weight Inequalities for Commutators with Fractional Integral Operators
• Characterizations of weighted BMO space and its application
• Bilinear integral operator on Morrey-Banach spaces and its application
• Weak factorization of the Hardy space $H^p$ for small values of $p$, in the multilinear setting
• A Revisit on Commutators of linear and bilinear Fractional Integral Operator
• A note on commutator in the multilinear setting