{"paper":{"title":"On the optimal multilinear Bohnenblust--Hille constants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D.M. Serrano-Rodriguez, D. Nunez-Alarcon, D. Pellegrino, J.B. Seoane-Sepulveda","submitted_at":"2013-02-03T18:01:35Z","abstract_excerpt":"The upper estimates for the optimal constants of the multilinear Bohnenblust--Hille inequality obtained in [J. Funct. Anal. 264 (2013), 429--463] are here improved to: {0.1cm}\n  {enumerate} For real scalars: $K_{n}\\leq\\sqrt{2}(n-1)^{0.526322}$. For complex scalars: $K_{n}\\leq\\frac{2}{\\sqrt{\\pi}}(n-1)^{0.304975}$.{enumerate} {0.1cm} \\noindent We also obtain sharper estimates for higher values of $n$. For instance, \\[ K_{n}<1.30379(n-1) ^{0.526322}\\] for real scalars and $n>2^{8}$ and \\[ K_{n}<0.99137(n-1) ^{0.304975}\\] for complex scalars and $n > 2^{15}.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0517","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"}