Estimates for Multilinear Commutators of Marcinkiewicz Integrals with Nondoubling Measures

Abstract EN

Let μ be a nonnegative Radon measure on ℝd satisfying μ(B(x,r))≤C0rn for all x∈ℝd, r>0, and some fixed C0>0 and n∈(0,d].

The authors obtain some estimates for the multilinear commutators generated by Marcinkiewicz integral and RBMO(μ) functions on certain Hardy-type spaces, where RBMO(μ) space was introduced by Tolsa in (Mathematische Annalen, 2001).