{"paper":{"title":"Absolutely summing multilinear operators via interpolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. M. Serrano-Rodr\\'iguez, D. N\\'u\\~nez-Alarc\\'on, J. Santos, N. Albuquerque","submitted_at":"2014-04-19T13:03:58Z","abstract_excerpt":"We use an interpolative technique from \\cite{abps} to introduce the notion of multiple $N$-separately summing operators. Our approach extends and unifies some recent results; for instance we recover the best known estimates of the multilinear Bohnenblust-Hille constants due to F. Bayart, D. Pellegrino and J. Seoane-Sep\\'ulveda. More precisely, as a consequence of our main result, for $1\\leq t<2$ and $m\\in \\mathbb{N}$ we prove that $$ \\left(\\sum_{i_{1},\\dots,i_{m}=1}^{\\infty}\\left\\vert U\\left(e_{i_{1}},\\dots,e_{i_{m}}\\right) \\right\\vert^{\\frac{2tm}{2+(m-1)t}}\\right)^{\\frac{2+(m-1)t}{2tm}} \\leq "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4949","kind":"arxiv","version":2},"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"}