{ "id": "1908.10886", "version": "v1", "published": "2019-08-28T18:01:20.000Z", "updated": "2019-08-28T18:01:20.000Z", "title": "Characterization of nuclearity for Beurling-Björck spaces", "authors": [ "Andreas Debrouwere", "Lenny Neyt", "Jasson Vindas" ], "comment": "9 pages", "categories": [ "math.FA" ], "abstract": "We characterize the nuclearity of the Beurling-Bj\\\"{o}rck spaces $\\mathcal{S}^{(\\omega)}_{(\\eta)}(\\mathbb{R}^d)$ and $\\mathcal{S}^{\\{\\omega\\}}_{\\{\\eta\\}}(\\mathbb{R}^d)$ in terms of the defining weight functions $\\omega$ and $\\eta$.", "revisions": [ { "version": "v1", "updated": "2019-08-28T18:01:20.000Z" } ], "analyses": { "subjects": [ "46E10", "46F05", "42B10", "46A11", "81S30" ], "keywords": [ "beurling-björck spaces", "nuclearity", "characterization" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }