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We give an extension to certain \textit{RD-space} $\X$, i.e space ofhomogeneous type in the sense of Coifman and Weiss, which has the reversedoubling property, of the definition and various properties of the product offunctions in $\BMO(\X)$ and $\H^{1}(\X)$, and functions in Lipschitz space$\Lambda_{\frac{1}{p}-1}(\X)$ and $\H^{p}(\X)$ for$p\in(\frac{\n}{\n+\theta},1]$, where $\n$ and $\theta$ denote respectively the"dimension" and the order of $\X$

Products of functions in $\BMO$ and $\H^{1}$ spaces on spaces of homogeneous type