{"paper":{"title":"Generalized Volterra operators mapping between Banach spaces of analytic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Amir H. Sanatpour, Maryam M. Pirasteh, Mikael Lindstr\\\"om, Niklas Wikman, Ted Eklund","submitted_at":"2018-03-08T09:01:46Z","abstract_excerpt":"We characterize boundedness and compactness of the classical Volterra operator $T_g \\colon H_{v_{\\alpha}}^{\\infty} \\to H^{\\infty}$ induced by a univalent function $g$ for standard weights $v_{\\alpha}$ with $0 \\leq \\alpha < 1$, partly answering an open problem posed by A. Anderson, M. Jovovic and W. Smith. We also study boundedness, compactness and weak compactness of the generalized Volterra operator $T_g^{\\varphi}$ mapping between Banach spaces of analytic functions on the unit disc satisfying certain general conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03008","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"}