{"paper":{"title":"Weighted vector-valued bounds for a class of multilinear singular integral operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Guoen Hu, Jiecheng Chen","submitted_at":"2016-06-15T14:03:31Z","abstract_excerpt":"In this paper, we investigate the weighted vector-valued bounds for a class of multilinear singular integral operators, and its commutators, from $L^{p_1}(l^{q_1};\\,\\mathbb{R}^n,w_1)\\times\\dots\\times L^{p_m}(l^{q_m};\\,\\mathbb{R}^n,w_m)$ to $L^{p}(l^q;\\,\\mathbb{R}^n,\\nu_{\\vec{w}})$, with $p_1,\\dots,p_m\\in (1,\\,\\infty)$ and $1/p=1/p_1+\\dots+1/p_m$ and $\\vec{w}$ is a multiple $A_{\\vec{P}}$ weights. Our argument also leads to the weighted weak type endpoint estimates for the commutators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04768","kind":"arxiv","version":3},"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"}