A note on commutator in the multilinear setting

Dinghuai Wang, Jiang Zhou, Zhidong Teng

Let $m\in \mathbb{N}$ and $\vec{b}=(b_1,\cdots ,b_m)$ be a collection of locally integrable functions. It is proved that $b_1,b_2,\cdots ,b_m\in BMO$ if and only if $$\sup…