{"paper":{"title":"Convolution structures for an Orlicz space with respect to vector measures on a compact group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Manoj Kumar, N. Shravan Kumar","submitted_at":"2019-05-28T12:43:22Z","abstract_excerpt":"The aim of this paper is to present some results about the space L^\\Phi(\\nu), where \\nu is a vector measure on a compact (not necessarily abelian) group and \\Phi is a Young function. We show that under certain conditions, the space L^\\Phi(\\nu) becomes an L^1(G)-module with respect to the usual convolution of functions. We also define one more convolution structure on L^\\Phi(\\nu)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11776","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"}