  Let $(X,d,\mu)$ denotes non-homogeneous metric measure space satisfying
geometrically doubling and the upper doubling measure condition. In this paper,
the boundedness in Lebesgue spaces for two kinds of commutators, which are
iterated commutators and commutators in summation form, generated by
multilinear strongly singular integral operators with RBMO$(\mu)$ function on
non-homogeneous metric measure spaces $(X,d,\mu)$ is obtained.

Functional Analysis