{ "id": "2303.04773", "version": "v2", "published": "2023-03-08T18:10:17.000Z", "updated": "2023-07-12T13:53:30.000Z", "title": "Mixed norm $l^2$ decoupling for paraboloids", "authors": [ "Shival Dasu", "Hongki Jung", "Zane Kun Li", "José Madrid" ], "comment": "19 pages, fixed formatting and corrected typos", "categories": [ "math.CA", "math.AP" ], "abstract": "We prove the sharp mixed norm $(l^2, L^{q}_{t}L^{r}_{x})$ decoupling estimate for the paraboloid in $d + 1$ dimensions.", "revisions": [ { "version": "v2", "updated": "2023-07-12T13:53:30.000Z" } ], "analyses": { "keywords": [ "paraboloid", "sharp mixed norm" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }