{"paper":{"title":"Gaussian integral means of entire functions: logarithmic convexity and concavity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Chunjie Wang, Jie Xiao","submitted_at":"2014-05-23T19:55:14Z","abstract_excerpt":"For $0<p<\\infty$ and $\\alpha\\in (-\\infty,\\infty)$ we determine when the $L^p$ integral mean on $\\{z\\in\\mathbb C: |z|\\le r\\}$ of an entire function with respect to the Gaussian area measure $e^{-\\alpha|z|^2}\\,dA(z)$ is logarithmic convex or logarithmic concave."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6193","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"}