{ "id": "2201.12002", "version": "v1", "published": "2022-01-28T09:30:19.000Z", "updated": "2022-01-28T09:30:19.000Z", "title": "Mapping properties of Fourier transforms, II", "authors": [ "Hans Triebel" ], "categories": [ "math.FA" ], "abstract": "This is the direct continuation of the paper \"Mapping properties of Fourier transforms\" (arXiv:2112.04896) using the same notation as there without further explanations. It deals with continuous and compact mappings of the Fourier transform $F$ between some weighted function spaces on $\\mathbb{R}^n$.", "revisions": [ { "version": "v1", "updated": "2022-01-28T09:30:19.000Z" } ], "analyses": { "subjects": [ "46E35", "41A46", "47B06" ], "keywords": [ "fourier transform", "mapping properties", "direct continuation", "compact mappings" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }