{ "id": "1311.6122", "version": "v2", "published": "2013-11-24T13:57:18.000Z", "updated": "2013-11-26T05:04:07.000Z", "title": "Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces", "authors": [ "Vagif S. Guliyev", "Fatih Deringoz" ], "comment": "22. arXiv admin note: substantial text overlap with arXiv:1310.6604", "categories": [ "math.FA" ], "abstract": "We study the boundedness of intrinsic square functions and their commutators on generalized Orlicz-Morrey spaces $M^{\\Phi,\\varphi}(\\mathbb{R}^n)$. In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on weights $\\varphi(x,r)$ without assuming any monotonicity property of $\\varphi(x,r)$ on $r$.", "revisions": [ { "version": "v2", "updated": "2013-11-26T05:04:07.000Z" } ], "analyses": { "subjects": [ "42B20", "42B25", "42B35", "46E30" ], "keywords": [ "intrinsic square functions", "generalized orlicz-morrey spaces", "boundedness", "commutators", "zygmund-type integral inequalities" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.6122G" } } }