{ "id": "1602.08811", "version": "v1", "published": "2016-02-29T03:33:18.000Z", "updated": "2016-02-29T03:33:18.000Z", "title": "On the boundedness of Pseudo-differential operators on Triebel-Lizorkin and Besov spaces", "authors": [ "Bae Jun Park" ], "categories": [ "math.AP" ], "abstract": "In this work we study the boundedness of pseudo-differential operators corresponding to $a\\in\\mathcal{S}_{\\rho,\\delta}^{m}$, when $0\\leq \\delta\\leq \\rho<1$, on Triebel-Lizorkin spaces $F_p^{s,q}$ and Besov $B_p^{s,q}$ spaces. We also discuss the sharpness of our estimates in a certain sense and give an application.", "revisions": [ { "version": "v1", "updated": "2016-02-29T03:33:18.000Z" } ], "analyses": { "keywords": [ "besov spaces", "boundedness", "triebel-lizorkin spaces", "pseudo-differential operators corresponding" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160208811P" } } }