{ "id": "0808.0414", "version": "v2", "published": "2008-08-04T10:28:50.000Z", "updated": "2008-09-27T10:41:35.000Z", "title": "Estimates for differential operators of vector analysis involving $L^1$-norm", "authors": [ "Vladimir Maz'ya" ], "comment": "corrected typos", "categories": [ "math.AP", "math.FA" ], "abstract": "New Hardy and Sobolev type inequalities involving $L^1$-norms of scalar and vector-valued functions in $\\Bbb{R}^n$ are obtained. The work is related to some problems stated in the recent paper by Bourgain and Brezis", "revisions": [ { "version": "v2", "updated": "2008-09-27T10:41:35.000Z" } ], "analyses": { "subjects": [ "42B20" ], "keywords": [ "differential operators", "vector analysis", "sobolev type inequalities", "vector-valued functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.0414M" } } }