{"paper":{"title":"Duality of holomorphic Hardy type tent spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Antti Per\\\"al\\\"a","submitted_at":"2018-03-28T13:19:59Z","abstract_excerpt":"We study the holomorphic tent spaces $\\mathcal{HT}^p_{q,\\alpha}(\\Bn)$, which are motivated by the area function description of the Hardy spaces on one hand, and the maximal function description of the Hardy spaces on the other. Characterizations for these spaces under general fractional differential operators are given.\n  We describe the dual of $\\mathcal{HT}^p_{q,\\alpha}(\\Bn)$ for the full range $0<p,q<\\infty$ and $\\alpha>-n-1$. Here the case $1<p<\\infty$, $q\\leq 1$ leads us to the Hardy-Bloch type spaces $\\mathcal{BT}^{p}(\\Bn)$ and $\\mathcal{BT}^{p,0}(\\Bn)$, the latter being the predual of $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10584","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"}