{"paper":{"title":"Harnack Extension for Abstract Perron-Stiletjes Integral and Its Application in LSRSS Property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Umi Mahnuna Hanung","submitted_at":"2012-12-20T23:06:25Z","abstract_excerpt":"In this work, we give some definitions of continuities with respect to a bilinear triple of Banach spaces which subsequently provide some further properties of the abstract Perron-Stieltjes integral. Moreover, we expand the notion of Harnack extension and Cauchy property for this integral and apply it for investigating a connection of the abstract Perron-Stieltjes integral and LSRSS property in advance introduced."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5296","kind":"arxiv","version":4},"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"}