A T(L) theorem for the Calder\'{o}n--Zygmund operators in BMO($\mathbb{R}^d$)

Abstract

A variant of the global $T(1)$ criterion to characterize the bounded Calder\'{o}n--Zygmund operators on BMO($\mathbb{R}^d$) is proved. We apply it to the certain Calder\'on commutators.