Boundedness of Some Maximal Commutators in Hardy-type Spaces with Non-doubling Measures

Abstract

Let μ be a non-negative Radon measure on ℝ d which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of maximal Calderon–Zygmund operators and maximal commutators which are variants of the usual maximal commutators generated by Calderon–Zygmund operators and RBMO(μ) functions, where the Hardytype spaces are some appropriate subspaces, associated with the considered RBMO(μ) functions, of the Hardy space H 1(μ) of Tolsa.