  Convex body domination is an important elaboration of the technique of sparse
domination that has seen significant development and applications over the past
ten years. In this paper, we present an abstract framework for convex body
domination, which also applies to Banach space -valued functions, and yields
matrix-weighted norm inequalities in this setting. We explore applications to
"generalised commutators", obtaining new examples of bounded operators among
linear combinations of compositions of pointwise multipliers and a singular
integral operator.
