{ "id": "1510.03597", "version": "v1", "published": "2015-10-13T09:46:40.000Z", "updated": "2015-10-13T09:46:40.000Z", "title": "A note on weak$^*$-convergence in $h^1(\\mathbb R^d)$", "authors": [ "Ha Duy Hung", "Duong Quoc Huy", "Luong Dang Ky" ], "categories": [ "math.CA" ], "abstract": "In this paper, we give a very simple proof of the main result of Dafni (Canad Math Bull 45:46--59, 2002) concerning with weak$^*$-convergence in the local Hardy space $h^1(\\mathbb R^d)$.", "revisions": [ { "version": "v1", "updated": "2015-10-13T09:46:40.000Z" } ], "analyses": { "subjects": [ "42B30" ], "keywords": [ "convergence", "canad math bull", "local hardy space", "simple proof", "main result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151003597D" } } }