{ "id": "2406.10191", "version": "v1", "published": "2024-06-14T17:26:29.000Z", "updated": "2024-06-14T17:26:29.000Z", "title": "Sobolev spaces of vector-valued functions on compact groups", "authors": [ "Yaogan Mensah" ], "comment": "7 pages", "categories": [ "math.FA" ], "abstract": "This paper deals with a class of Sobolev spaces of vector-valued functions on a compact group. Some Sobolev embedding theorems are proved.", "revisions": [ { "version": "v1", "updated": "2024-06-14T17:26:29.000Z" } ], "analyses": { "subjects": [ "46E35", "43A77", "46E40" ], "keywords": [ "sobolev spaces", "compact group", "vector-valued functions" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }