{"paper":{"title":"On some spaces of holomorphic functions of exponential growth on a half-plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CV","authors_text":"Marco M. Peloso, Maura Salvatori","submitted_at":"2015-12-03T14:37:12Z","abstract_excerpt":"In this paper we study spaces of holomorphic functions on the right half-plane $\\cal R$, that we denote by $\\cal M^p_\\omega$, whose growth conditions are given in terms of a translation invariant measure $\\omega$ on the closed half-plane $\\overline\\cal R$. Such a measure has the form $\\omega=\\nu\\otimes m$, where $m$ is the Lebesgue measure on $\\mathbb R$ and $\\nu$ is a regular Borel measure on $[0,+\\infty)$. We call these spaces generalized Hardy-Bergman spaces on the half-plane $\\cal R$.\n  We study in particular the case of $\\nu$ purely atomic, with point masses on an arithmetic progression o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01452","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"}