{"paper":{"title":"H\\\"older continuity of harmonic functions for Hunt processes with Green function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Wolfhard Hansen","submitted_at":"2015-02-23T17:12:13Z","abstract_excerpt":"Let $(X,\\mathcal W)$ be a balayage space, $1\\in \\mathcal W$, or - equivalently - let $\\mathcal W$ be the set of excessive functions of a Hunt process on a locally compact space $X$ with countable base such that $\\mathcal W$ separates points, every function in $\\mathcal W$ is the supremum of its continuous minorants and there exist strictly positive continuous $u,v\\in \\mathcal W$ such that $u/v\\to 0$ at infinity. We suppose that there is a Green function $G>0$ for $X$, a metric $\\rho$ on $X$ and a decreasing function $g\\colon[0,\\infty)\\to (0,\\infty]$ having the doubling property and a mild uppe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06514","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"}