{ "id": "2108.12106", "version": "v1", "published": "2021-08-27T03:22:56.000Z", "updated": "2021-08-27T03:22:56.000Z", "title": "Sharp embedding between Besov-Triebel-Sobolev spaces and modulation spaces", "authors": [ "Yufeng Lu" ], "comment": "18 pages, 2 figures", "categories": [ "math.FA", "math.CA" ], "abstract": "The embedding relations between Besov-Triebel-Sobolev spaces and modulation spaces are determined explicitly. We extend the results of Sugimoto[2007]; Wang[2007] and Kobayashi[2011] to the most general cases. And we give the sharp embedding between Fourier $L^{p}$ spaces and modulation spaces.", "revisions": [ { "version": "v1", "updated": "2021-08-27T03:22:56.000Z" } ], "analyses": { "keywords": [ "modulation spaces", "besov-triebel-sobolev spaces", "sharp embedding", "general cases" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }