{ "id": "1212.3684", "version": "v1", "published": "2012-12-15T13:57:34.000Z", "updated": "2012-12-15T13:57:34.000Z", "title": "Square functions with general measures", "authors": [ "Henri Martikainen", "Mihalis Mourgoglou" ], "comment": "10 pages", "categories": [ "math.CA" ], "abstract": "We characterize the boundedness of square functions in the upper half-space with general measures. The short proof is based on an averaging identity over good Whitney regions.", "revisions": [ { "version": "v1", "updated": "2012-12-15T13:57:34.000Z" } ], "analyses": { "subjects": [ "42B20" ], "keywords": [ "general measures", "square functions", "upper half-space", "short proof" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1212.3684M" } } }