{"paper":{"title":"Sharp weighted bounds for multilinear maximal functions and Calder\\'on-Zygmund operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Andrei K. Lerner, Carlos P\\'erez, Wendol\\'in Dami\\'an","submitted_at":"2012-11-21T19:05:08Z","abstract_excerpt":"In this paper we prove some sharp weighted norm inequalities for the multi(sub)linear maximal function $\\Mm$ introduced in \\cite{LOPTT} and for multilinear Calder\\'on-Zygmund operators. In particular we obtain a sharp mixed \"$A_p-A_{\\infty}$\" bound for $\\Mm$, some partial results related to a Buckley-type estimate for $\\Mm$, and a sufficient condition for the boundedness of $\\Mm$ between weighted $L^p$ spaces with different weights taking into account the precise bounds.\n  Next we get a bound for multilinear Calder\\'on-Zygmund operators in terms of dyadic positive multilinear operators in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5115","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"}