{"paper":{"title":"Orlicz-Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Dachun Yang, Renjin Jiang","submitted_at":"2009-03-26T01:15:46Z","abstract_excerpt":"Let ${\\mathcal X}$ be a metric space with doubling measure, $L$ a nonnegative self-adjoint operator in $L^2({\\mathcal X})$ satisfying the Davies-Gaffney estimate, $\\omega$ a concave function on $(0,\\infty)$ of strictly lower type $p_\\omega\\in (0, 1]$ and $\\rho(t)={t^{-1}}/\\omega^{-1}(t^{-1})$ for all $t\\in (0,\\infty).$ The authors introduce the Orlicz-Hardy space $H_{\\omega,L}({\\mathcal X})$ via the Lusin area function associated to the heat semigroup, and the BMO-type space ${\\mathop\\mathrm{BMO}_{\\rho,L}(\\mathcal X)}$. The authors then establish the duality between $H_{\\omega,L}({\\mathcal X})"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.4494","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"}