{"paper":{"title":"Noncommutative Burkholder/Rosenthal inequalities associated with convex functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.PR","authors_text":"Lian Wu, Narcisse Randrianantoanina","submitted_at":"2015-06-12T19:57:02Z","abstract_excerpt":"We prove noncommutative martingale inequalities associated with convex functions. More precisely, we obtain $\\Phi$-moment analogues of the noncommutative Burkholder inequalities and the noncommutative Rosenthal inequalities for any convex Orlicz function $\\Phi$ whose Matuzewska-Orlicz indices $p_\\Phi$ and $q_\\Phi$ are such that $1<p_\\Phi\\leq q_\\Phi <2$ or $2<p_\\Phi \\leq q_\\Phi<\\infty$. These results generalize the noncommutative Burkholder/Rosenthal inequalities due to Junge and Xu."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04134","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"}