{ "id": "0802.3497", "version": "v1", "published": "2008-02-24T08:54:39.000Z", "updated": "2008-02-24T08:54:39.000Z", "title": "Mapping properties of fundamental operators in harmonic analysis related to Bessel operators", "authors": [ "Jorge J. Betancor", "Eleonor Harboure", "Adam Nowak", "Beatriz Viviani" ], "comment": "31 pages with 2 figures", "journal": "Studia Math. 197 (2010), 101-140", "categories": [ "math.CA" ], "abstract": "We prove sharp power-weighted strong type, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.", "revisions": [ { "version": "v1", "updated": "2008-02-24T08:54:39.000Z" } ], "analyses": { "subjects": [ "42C05", "42C15" ], "keywords": [ "harmonic analysis", "bessel operators", "fundamental operators", "mapping properties", "littlewood-paley type square function" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0802.3497B" } } }