{"paper":{"title":"A note on approximation of plurisubharmonic functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Haakan Persson, Jan Wiegerinck","submitted_at":"2016-09-15T12:48:00Z","abstract_excerpt":"We extend a recent result of Avelin, Hed, and Persson about approximation of functions $u$ that are plurisubharmonic on a domain $\\Omega$ and continuous on $\\bar\\Omega$, with functions that are plurisubharmonic on (shrinking) neighborhoods of $\\bar\\Omega$. We show that such approximation is possible if the boundary of $\\Omega$ is $C^0$ outside a countable exceptional set $E\\subset\\partial \\Omega$. In particular, approximation is possible on the Hartogs triangle. For H\\\"older continuous $u$, approximation is possible under less restrictive conditions on $E$. We next give examples of domains whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.04610","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"}