{"paper":{"title":"Sharp Weighted Bounds for Multilinear fractional Maximal type Operators with Rough Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Qingying Xue, Senhua Lan, Ting Mei","submitted_at":"2013-05-08T16:05:03Z","abstract_excerpt":"In this paper, we will give the weighted bounds for multilinear fractional maximal type operators $\\mathcal{M}_{\\Omega,\\alpha}$ with rough homogeneous kernels. We obtain a mixed $A_{(\\vec{P},q)}-A_\\infty$ bound and a $A_{\\vec{P}}$ type estimate for $\\mathcal{M}_{\\Omega,\\alpha}$. As an application, we give an almost sharp estimate for the multilinear fractional integral operator with rough kernels $\\mathcal{I}_{\\Omega,\\alpha}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1865","kind":"arxiv","version":1},"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"}