{"paper":{"title":"Dual spaces to Orlicz - Lorentz spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Anna Kami\\'nska, Karol Le\\'snik, Yves Raynaud","submitted_at":"2014-03-06T17:39:35Z","abstract_excerpt":"For an Orlicz function $\\varphi$ and a decreasing weight $w$, two intrinsic exact descriptions are presented for the norm in the K\\\"othe dual of an Orlicz-Lorentz function space $\\Lambda_{\\varphi,w}$ or a sequence space $\\lambda_{\\varphi,w}$, equipped with either Luxemburg or Amemiya norms. The first description of the dual norm is given via the modular $\\inf\\{\\int\\varphi_*(f^*/|g|)|g|: g\\prec w\\}$, where $f^*$ is the decreasing rearrangement of $f$, $g\\prec w$ denotes the submajorization of $g$ by $w$ and $\\varphi_*$ is the complementary function to $\\varphi$. The second one is stated in term"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1505","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"}