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

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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Journal articles

Cited literature [13 references]

https://hal.archives-ouvertes.fr/hal-01053890
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Submitted on : Monday, August 4, 2014 - 8:08:59 AM
Last modification on : Tuesday, October 12, 2021 - 5:20:12 PM
Long-term archiving on: : Tuesday, November 25, 2014 - 11:46:32 PM

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• HAL Id : hal-01053890, version 1

### Citation

Luong Dang Ky. On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type. Journal of Mathematical Analysis and Applications, Elsevier, 2015, 11 p. ⟨hal-01053890⟩

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