{ "id": "1110.2681", "version": "v3", "published": "2011-10-12T15:27:00.000Z", "updated": "2012-12-10T09:33:11.000Z", "title": "Embeddings of $α$-modulation spaces", "authors": [ "Joachim Toft", "Patrik Wahlberg" ], "comment": "19 pages, to appear in Pliska Stud. Math. Bulg", "categories": [ "math.FA" ], "abstract": "We show upper and lower embeddings of $\\alpha_1$-modulation spaces in $\\alpha_2$-modulation spaces for $0 \\leq \\alpha_1 \\leq \\alpha_2 \\leq 1$, and prove partial results on the sharpness of the embeddings.", "revisions": [ { "version": "v3", "updated": "2012-12-10T09:33:11.000Z" } ], "analyses": { "subjects": [ "42B35", "46E35" ], "keywords": [ "modulation spaces", "lower embeddings", "partial results" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1110.2681T" } } }