{ "id": "1701.08184", "version": "v1", "published": "2017-01-27T20:14:57.000Z", "updated": "2017-01-27T20:14:57.000Z", "title": "On the boundedness of periodic pseudo-differential operators", "authors": [ "Duván Cardona" ], "comment": "Pseudo-differential operators", "doi": "10.1007/s00605-017-1025-2", "categories": [ "math.AP" ], "abstract": "In this paper we investigate the $L^p$-boundedness of certain classes of periodic pseudo-differential operators. The operators considered arise from the study of symbols on $\\mathbb{T}^n\\times\\mathbb{Z}^n$ with limited regularity.", "revisions": [ { "version": "v1", "updated": "2017-01-27T20:14:57.000Z" } ], "analyses": { "subjects": [ "58J40", "35S05", "42B05" ], "keywords": [ "periodic pseudo-differential operators", "boundedness", "limited regularity" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }