{"paper":{"title":"The sharp weighted bound for multilinear maximal functions and Calder\\'{o}n-Zygmund operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Kabe Moen, Kangwei Li, Wenchang Sun","submitted_at":"2012-12-05T15:35:30Z","abstract_excerpt":"We investigate the weighted bounds for multilinear maximal functions and Calder\\'on-Zygmund operators from $L^{p_1}(w_1)\\times...\\times L^{p_m}(w_m)$ to $L^{p}(v_{\\vec{w}})$, where $1<p_1,...,p_m<\\infty$ with $1/{p_1}+...+1/{p_m}=1/p$ and $\\vec{w}$ is a multiple $A_{\\vec{P}}$ weight. We prove the sharp bound for the multilinear maximal function for all such $p_1,..., p_m$ and prove the sharp bound for $m$-linear Calder\\'on-Zymund operators when $p\\geq 1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1054","kind":"arxiv","version":4},"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"}