{"paper":{"title":"Normal complex symmetric weighted composition operators on the Hardy space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hang Zhou, Ze-Hua Zhou","submitted_at":"2019-01-03T03:49:58Z","abstract_excerpt":"In this paper, we investigate the normal weighed composition operators $W_{\\psi,\\varphi}$ which is $\\mathcal{J}-$symmetric, $\\mathcal{C}_1-$symmetric and $\\mathcal{C}_2-$symmetric on the Hardy space $H^2(\\mathbb{D})$ respectively. Firstly, equivalent conditions of the normality of $\\mathcal{C}_1-$symmetric and $\\mathcal{C}_2-$symmetric weighted composition operators on $H^2(\\mathbb{D})$ is given. Furthermore, the normal $\\mathcal{J}-$symmetric, $\\mathcal{C}_1-$symmetric and $\\mathcal{C}_2-$symmetric weighted composition operators on $H^2(\\mathbb{D})$ when $\\varphi$ has an interior fixed point,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00601","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"}