{ "id": "2106.00711", "version": "v1", "published": "2021-06-01T18:08:32.000Z", "updated": "2021-06-01T18:08:32.000Z", "title": "Calderón-Zygmund operators on RBMO", "authors": [ "Evgueni Doubtsov", "Andrei V. Vasin" ], "comment": "15 pages", "categories": [ "math.CA", "math.FA" ], "abstract": "Let $\\mu$ be an $n$-dimensional finite positive measure on $\\mathbb{R}^m$. We obtain a $T1$ condition sufficient for the boundedness of Calder\\'{o}n-Zygmund operators on $\\textrm{RBMO}(\\mu)$, the regular BMO space of Tolsa.", "revisions": [ { "version": "v1", "updated": "2021-06-01T18:08:32.000Z" } ], "analyses": { "subjects": [ "42B20", "42B35" ], "keywords": [ "calderón-zygmund operators", "dimensional finite positive measure", "regular bmo space", "condition sufficient", "boundedness" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }