{"paper":{"title":"Dual Spaces of Anisotropic Mixed-Norm Hardy Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.FA"],"primary_cat":"math.CA","authors_text":"Dachun Yang, Jun Liu, Long Huang, Wen Yuan","submitted_at":"2018-04-16T09:02:56Z","abstract_excerpt":"Let $\\vec{a}:=(a_1,\\ldots,a_n)\\in[1,\\infty)^n$, $\\vec{p}:=(p_1,\\ldots,p_n)\\in(0,\\infty)^n$ and $H_{\\vec{a}}^{\\vec{p}}(\\mathbb{R}^n)$ be the anisotropic mixed-norm Hardy space associated with $\\vec{a}$ defined via the non-tangential grand maximal function. In this article, the authors give the dual space of $H_{\\vec{a}}^{\\vec{p}}(\\mathbb{R}^n)$, which was asked by Cleanthous et al. in [J. Geom. Anal. 27 (2017), 2758-2787]. More precisely, via first introducing the anisotropic mixed-norm Campanato space $\\mathcal{L}_{\\vec{p},\\,q,\\,s}^{\\vec{a}}(\\mathbb{R}^n)$ with $q\\in[1,\\infty]$ and $s\\in\\mathb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05558","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"}