{"paper":{"title":"Boundedness of fractional maximal operator and its commutators on generalized Orlicz-Morrey spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Fatih Deringoz, Vagif S. Guliyev","submitted_at":"2014-05-23T12:44:25Z","abstract_excerpt":"We consider generalized Orlicz-Morrey spaces $M_{\\Phi,\\varphi}(\\mathbb{R}^{n})$ including their weak versions $WM_{\\Phi,\\varphi}(\\mathbb{R}^{n})$. We find the sufficient conditions on the pairs $(\\varphi_{1},\\varphi_{2})$ and $(\\Phi, \\Psi)$ which ensures the boundedness of the fractional maximal operator $M_{\\alpha}$ from $M_{\\Phi,\\varphi_1}(\\mathbb{R}^{n})$ to $M_{\\Psi,\\varphi_2}(\\mathbb{R}^{n})$ and from $M_{\\Phi,\\varphi_1}(\\mathbb{R}^{n})$ to $WM_{\\Psi,\\varphi_2}(\\mathbb{R}^{n})$. As applications of those results, the boundedness of the commutators of the fractional maximal operator $M_{b,\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6045","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}