{ "id": "2212.05212", "version": "v1", "published": "2022-12-10T05:23:56.000Z", "updated": "2022-12-10T05:23:56.000Z", "title": "Gagliardo-Nirenberg type inequalities using fractional Sobolev spaces and Besov spaces", "authors": [ "Nguyen Anh Dao" ], "categories": [ "math.CA" ], "abstract": "Our main purpose is to establish Gagliardo-Nirenberg type inequalities using fractional homogeneous Sobolev spaces, and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in [1, 2, 3, 7, 16, 21].", "revisions": [ { "version": "v1", "updated": "2022-12-10T05:23:56.000Z" } ], "analyses": { "subjects": [ "46E35", "46B70" ], "keywords": [ "fractional sobolev spaces", "establish gagliardo-nirenberg type inequalities", "fractional homogeneous sobolev spaces", "main purpose", "homogeneous besov spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }