{ "id": "1808.02806", "version": "v1", "published": "2018-08-08T14:47:48.000Z", "updated": "2018-08-08T14:47:48.000Z", "title": "A note on $L^p_{w}(ν,X,Y)$ spaces of vector-valued functions with respect to vector measures", "authors": [ "Liliana Posada" ], "categories": [ "math.FA" ], "abstract": "In this work we introduce the spaces $L^p_{w}(\\nu; X; Y)$ for the case where $\\nu$ is a vector measure and the functions are vector-valued. We establish fundamental properties for such spaces.", "revisions": [ { "version": "v1", "updated": "2018-08-08T14:47:48.000Z" } ], "analyses": { "keywords": [ "vector measure", "vector-valued functions", "establish fundamental properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }