{ "id": "1708.02009", "version": "v1", "published": "2017-08-07T07:03:28.000Z", "updated": "2017-08-07T07:03:28.000Z", "title": "Besov spaces generated by the Neumann Laplacian", "authors": [ "Koichi Taniguchi" ], "comment": "26 pages", "categories": [ "math.FA" ], "abstract": "The purpose of this paper is to give a definition and prove the fundamental properties of Besov spaces generated by the Neumann Laplacian. As a by-product of these results, the fractional Leibniz rule in these Besov spaces is obtained.", "revisions": [ { "version": "v1", "updated": "2017-08-07T07:03:28.000Z" } ], "analyses": { "subjects": [ "30H25", "46F05" ], "keywords": [ "besov spaces", "neumann laplacian", "fractional leibniz rule", "fundamental properties" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }