{"paper":{"title":"Estimate for norm of a composition operator on the Hardy-Dirichlet space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Herv\\'e Queff\\'elec, Perumal Muthukumar, Saminathan Ponnusamy","submitted_at":"2018-02-06T07:41:26Z","abstract_excerpt":"By using the Schur test, we give some upper and lower estimates on the norm of a composition operator on $\\mathcal{H}^2$, the space of Dirichlet series with square summable coefficients, for the inducing symbol $\\varphi(s)=c_1+c_{q}q^{-s}$ where $q\\geq 2$ is a fixed integer. We also give an estimate on the approximation numbers of such an operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01831","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"}