{ "id": "1809.01806", "version": "v1", "published": "2018-09-06T03:39:39.000Z", "updated": "2018-09-06T03:39:39.000Z", "title": "Boundedness of pseudo-differential operators of type (0,0) 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 $a\\in\\mathcal{S}_{0,0}^{m}$ on Triebel-Lizorkin spaces $F_p^{s,q}$ and Besov spaces $B_p^{s,q}$. We also discuss the sharpness of our estimates in a certain sense.", "revisions": [ { "version": "v1", "updated": "2018-09-06T03:39:39.000Z" } ], "analyses": { "subjects": [ "42B37", "42B35", "42B15" ], "keywords": [ "besov spaces", "boundedness", "triebel-lizorkin spaces", "pseudo-differential operators corresponding" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }