Boundedness for iterated commutators of multilinear singular integrals of Dini's type on non-homogeneous metric measure spaces

Abstract

Assume that $(\mathcal X, d, \mu)$ is a geometrically doubling metric space and the measure $\mu$ is an upper doubling measure. This paper focuses on studying the boundedness of iterated commutators, which is generated by multilinear singular integral operators with the function $\bm{b}$ in $\mathrm{RBMO}(\mu)$.