{ "id": "1407.0280", "version": "v3", "published": "2014-07-01T15:29:28.000Z", "updated": "2015-04-09T05:21:00.000Z", "title": "On the product of functions in $BMO$ and $H^1$ over spaces of homogeneous type", "authors": [ "Luong Dang Ky" ], "comment": "J. Math. Anal. Appl. (to appear)", "categories": [ "math.CA" ], "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}.", "revisions": [ { "version": "v2", "updated": "2014-07-02T17:38:11.000Z", "comment": "a conjecture added, Acknowledgements added", "journal": null, "doi": null }, { "version": "v3", "updated": "2015-04-09T05:21:00.000Z" } ], "analyses": { "subjects": [ "42B35", "32A35" ], "keywords": [ "homogeneous type", "reverse doubling property holds", "additional property", "coifman-weiss" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.0280D" } } }