Product of functions in BMO and H in non-homogeneous spaces.

Under the assumption that the underlying measure is a non-negative Radon measure which only satisfies some growth condition and may not be doubling, we define the product of functions in the regular BMO and the atomic block H in the sense of distribution, and show that this product may be split into two parts, one in L and the other in some Hardy-Orlicz space. [ABSTRACT FROM AUTHOR]