Multilinear commutators of Calderón–Zygmund operators on Hardy-type spaces with non-doubling measures ✩

Under the assumption that μ is a non-negative Radon measure on Rd which only satisfies some growth condition, the authors obtain the boundedness in some Hardy-type spaces of multilinear commutators generated by Calderón–Zygmund operators or fractional integrals with RBMO(μ) functions, where the Hardy-type spaces are some appropriate subspaces, associated to the considered RBMO(μ) functions, of the Hardy space H1(μ) of Tolsa.  2005 Elsevier Inc. All rights reserved.