On pointwise and weighted estimates for commutators of Calderón-Zygmund operators (Q2404633)

In this interesting paper, the authors established a pointwise control for the commutator \([b,T]\) of the Calderón-Zygmund operator \(T\) and a locally integrable function \(b\) by the sparse operators. Two important applications of this estimate were given in this paper. Firstly, if \(b\in\mathrm{BMO}\), the authors improved several well-known weighted weak type bound for \([b,T]\). Secondly, if \(b\) belongs to the weighted \(\mathrm{BMO}\), a quantitative form of the two-weighted bound for \([b,T]\) were also obtained.