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arXiv · 1407.0280

On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type

Luong Dang Ky
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Abstract

Let $\mathcal X$ be an RD-space, which means that $\mathcal X$ is a space of homogeneous type in the sense of Coifman-Weiss with the additional property that a reverse doubling property holds in $\mathcal X$. The aim of the present paper is to study the product of functions in $BMO$ and $H^1$ in this setting. Our results generalize some recent results in \cite{Feu} and \cite{LP}.

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Luong Dang Ky. 2015-04-09. On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type. https://arxiv.org/abs/1407.0280

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