{ "id": "0707.0389", "version": "v1", "published": "2007-07-03T10:42:25.000Z", "updated": "2007-07-03T10:42:25.000Z", "title": "A remark on fractional integrals on modulation spaces", "authors": [ "Mitsuru Sugimoto", "Naohito Tomita" ], "comment": "8 pages", "categories": [ "math.FA", "math.AP" ], "abstract": "In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces.", "revisions": [ { "version": "v1", "updated": "2007-07-03T10:42:25.000Z" } ], "analyses": { "subjects": [ "42B20", "42B35" ], "keywords": [ "modulation spaces", "fractional integral operators", "sufficient conditions", "boundedness" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0707.0389S" } } }