{ "id": "0712.0393", "version": "v3", "published": "2007-12-04T14:43:07.000Z", "updated": "2008-04-28T20:09:42.000Z", "title": "The $(L^{p},L^{1})$ bilinear Hardy-Littlewood function and Furstenberg averages", "authors": [ "I. Assani", "Z. Buczolich" ], "comment": "This paper has been withdrawn", "categories": [ "math.DS", "math.CA" ], "abstract": "More work needs to be done to move from the tail to the averages themselves. So at this time we prefer to withdraw the paper about the averages. However a previous version of the paper which deals with the tail has been checked and we believe it to be complete and correct.", "revisions": [ { "version": "v3", "updated": "2008-04-28T20:09:42.000Z" } ], "analyses": { "subjects": [ "37A05", "37A50", "28D05" ], "keywords": [ "bilinear hardy-littlewood function", "furstenberg averages", "work needs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.0393A" } } }