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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1804.05558","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-04-16T09:02:56Z","cross_cats_sorted":["math.AP","math.FA"],"title_canon_sha256":"e2b69163cb762a85f0d4bba10d03a2816467c43223fe55e37c381a436b164e9d","abstract_canon_sha256":"020634acf7392233f69a034501de21bb34c0e49e3daf49fcb6862d7c9fdd58f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:27.838922Z","signature_b64":"tNq1itJ7UCE3hcxhIm3o/KaAh8LbhVEiuDeO9PXh0vJq67WpLXpJJ48SvZ2+ESb2pGCkLkp0B6JOp459WK8jAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"754396e96d57e2e5771c899acefad241cadbcf10eb313dd258fbeb780417a8dd","last_reissued_at":"2026-05-18T00:18:27.838567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:27.838567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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]. 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