On the product of functions in BMO and H1H1 over spaces of homogeneous type

Let XX be an RD-space, which means that XX is a space of homogeneous type in the sense of Coifman–Weiss with the additional property that a reverse doubling property holds in XX. The aim of the present paper is to study the product of functions in BMO   and H1H1 in this setting. Our results generalize some recent results in [4] and [11].