{ "id": "2105.11355", "version": "v1", "published": "2021-05-24T15:38:28.000Z", "updated": "2021-05-24T15:38:28.000Z", "title": "Scaled Oscillation and Level Sets", "authors": [ "Iqra Altaf", "Marianna Csornyei", "Bobby Wilson" ], "categories": [ "math.CA" ], "abstract": "We study the size and regularity properties of level sets of continuous functions with bounded upper-scaled and lower-scaled oscillation.", "revisions": [ { "version": "v1", "updated": "2021-05-24T15:38:28.000Z" } ], "analyses": { "keywords": [ "level sets", "regularity properties", "lower-scaled oscillation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }