Boundedness for multilinear commutators of integral operators in Hardy and Herz-Hardy spaces on homogeneous spaces

Abstract

In this paper, we shall study the Hardy-boundedness for the multilinear commuta- tors related to the singular integral operators on the space of homogeneous type. By using the Holder's inequalities and the L q (1 < q < ∞) boundedness for the singular integral operators on the space of homogeneous type, we obtain the (H p �b ,L p ) and (H ˙ K α,p q,�b , ˙ K α,p q ) type boundedness for the multilinear commutators on the space of homogeneous type.