{"paper":{"title":"Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Dachun Yang, Jun Cao, Luong Dang Ky, Sibei Yang, The Anh Bui","submitted_at":"2013-03-01T00:21:49Z","abstract_excerpt":"Let $\\mathcal{X}$ be a metric space with doubling measure and $L$ a one-to-one operator of type $\\omega$ having a bounded $H_\\infty$-functional calculus in $L^2(\\mathcal{X})$ satisfying the reinforced $(p_L, q_L)$ off-diagonal estimates on balls, where $p_L\\in[1,2)$ and $q_L\\in(2,\\infty]$. Let $\\varphi:\\,\\mathcal{X}\\times[0,\\infty)\\to[0,\\infty)$ be a function such that $\\varphi(x,\\cdot)$ is an Orlicz function, $\\varphi(\\cdot,t)\\in {\\mathbb A}_{\\infty}(\\mathcal{X})$ (the class of uniformly Muckenhoupt weights), its uniformly critical upper type index $I(\\varphi)\\in(0,1]$ and $\\varphi(\\cdot,t)$ "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0057","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"}