{"paper":{"title":"New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Dachun Yang, Tino Ullrich, Wen Yuan, Yiyu Liang, Yoshihiro Sawano","submitted_at":"2011-03-29T14:48:54Z","abstract_excerpt":"In this paper, the authors establish new characterizations of the recently introduced Besov-type spaces $\\dot{B}^{s,\\tau}_{p,q}({\\mathbb R}^n)$ and Triebel-Lizorkin-type spaces $\\dot{F}^{s,\\tau}_{p,q}({\\mathbb R}^n)$ with $p\\in (0,\\infty]$, $s\\in{\\mathbb R}$, $\\tau\\in [0,\\infty)$, and $q\\in (0,\\infty]$, as well as their preduals, the Besov-Hausdorff spaces $B\\dot{H}^{s,\\tau}_{p,q}(\\R^n)$ and Triebel-Lizorkin-Hausdorff spaces $F\\dot{H}^{s,\\tau}_{p,q}(\\R^n)$, in terms of the local means, the Peetre maximal function of local means, and the tent space (the Lusin area function) in both discrete and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5667","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"}