{"paper":{"title":"Weighted bounds for multilinear operators with non-smooth kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Jose M. Conde-Alonso, Mahdi Hormozi, The Anh Bui, Xuan Thinh Duong","submitted_at":"2015-06-25T13:53:22Z","abstract_excerpt":"Let $T$ be a multilinear integral operator which is bounded on certain products of Lebesgue spaces on $\\mathbb R^n$. We assume that its associated kernel satisfies some mild regularity condition which is weaker than the usual H\\\"older continuity of those in the class of multilinear Calder\\'on-Zygmund singular integral operators. In this paper, given a suitable multiple weight $\\vec{w}$, we obtain the bound for the weighted norm of multilinear operators $T$ in terms of $\\vec{w}$. As applications, we exploit this result to obtain the weighted bounds for certain singular integral operators such a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07752","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"}