{ "id": "1207.1242", "version": "v1", "published": "2012-07-05T12:33:55.000Z", "updated": "2012-07-05T12:33:55.000Z", "title": "Boundedness of intrinsic square functions on the weighted weak Hardy spaces", "authors": [ "Hua Wang" ], "comment": "14 pages. arXiv admin note: text overlap with arXiv:1111.1388, arXiv:1102.4380", "categories": [ "math.CA" ], "abstract": "In this paper, by using the atomic decomposition theorem for weighted weak Hardy spaces, we will show the boundedness properties of intrinsic square functions including the Lusin area integral, Littlewood-Paley $g$-function and $g^*_\\lambda$-function on these spaces.", "revisions": [ { "version": "v1", "updated": "2012-07-05T12:33:55.000Z" } ], "analyses": { "subjects": [ "42B25", "42B30" ], "keywords": [ "weighted weak hardy spaces", "intrinsic square functions", "atomic decomposition theorem", "lusin area integral", "boundedness properties" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1207.1242W" } } }