{"paper":{"title":"Mixed-norm Amalgam Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Houkun Zhang, Jiang Zhou","submitted_at":"2021-10-04T05:29:57Z","abstract_excerpt":"We introduce the mixed-norm amalgam spaces $(L^{\\vec{p}},L^{\\vec{s}})(\\mathbb{R}^n)$ and $(L^{\\vec{p}},L^{\\vec{s}})^{\\alpha}(\\mathbb{R}^n)$, and show their some basic properties. In addition, we find the predual $\\mathcal{H}(\\vec{p}',\\vec{s}\\,',\\alpha')$ of mixed-norm amalgam spaces $(L^{\\vec{p}},\\ell^{\\vec{s}})^{\\alpha}(\\mathbb{R}^n)$ by the dual spaces $(L^{\\vec{p}'},\\ell^{\\vec{s}\\,'})(\\mathbb{R}^n)$ of $(L^{\\vec{p}},\\ell^{\\vec{s}})(\\mathbb{R}^n)$, where $(L^{\\vec{p}},L^{\\vec{s}})(\\mathbb{R}^n)=(L^{\\vec{p}},\\ell^{\\vec{s}})(\\mathbb{R}^n)$ and $(L^{\\vec{p}},L^{\\vec{s}})^{\\alpha}(\\mathbb{R}^n)="},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.01197","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.01197/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}