{ "id": "1910.03893", "version": "v1", "published": "2019-10-09T10:42:58.000Z", "updated": "2019-10-09T10:42:58.000Z", "title": "Extension in generalized Orlicz spaces", "authors": [ "Petteri Harjulehto", "Peter Hästö" ], "categories": [ "math.FA" ], "abstract": "We prove that a $\\Phi$-function can be extended from a domain $\\Omega$ to all of $\\mathbb R^n$ while preserving crucial properties for harmonic analysis on the generalized Orlicz space $L^\\Phi$.", "revisions": [ { "version": "v1", "updated": "2019-10-09T10:42:58.000Z" } ], "analyses": { "subjects": [ "46E30", "26B25" ], "keywords": [ "generalized orlicz space", "preserving crucial properties", "harmonic analysis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }