Products of functions in $\BMO$ and $\H^{1}$ spaces on spaces of homogeneous type
Abstract
Description
We give an extension to certain \textit{RD-space} $\X$, i.e space of homogeneous type in the sense of Coifman and Weiss, which has the reverse doubling property, of the definition and various properties of the product of functions in $\BMO(\X)$ and $\H^{1}(\X)$, and functions in Lipschitz space $Λ_{\frac{1}{p}-1}(\X)$ and $\H^{p}(\X)$ for $p\in(\frac{\n}{\n+θ},1]$, where $\n$ and $θ$ denote respectively the "dimension" and the order of $\X$
18 pages, submitted
18 pages, submitted