Let be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. Let be a Calderón–Zygmund operator and let be a finite family of functions. In this article, the authors establish the boundedness of the multilinear commutator , generated by and from the atomic Hardy-type space into the Lebesgue space . The authors also prove that is bounded from the atomic Hardy-type space into the atomic Hardy space via the molecular characterization of .
"Hardy-type space estimates for multilinear commutators of Calderón–Zygmund operators on nonhomogeneous metric measure spaces." Banach J. Math. Anal. 11 (3) 477 - 496, July 2017. https://doi.org/10.1215/17358787-2017-0002