{ "id": "2312.01717", "version": "v1", "published": "2023-12-04T08:19:00.000Z", "updated": "2023-12-04T08:19:00.000Z", "title": "On Type IV Superorthogonality", "authors": [ "Jianghao Zhang" ], "comment": "14 pages. Comments are welcome!", "categories": [ "math.CA" ], "abstract": "We prove the direct and the converse inequality for type IV superorthogonality in the vector-valued setting. The converse one is also new in the scalar setting.", "revisions": [ { "version": "v1", "updated": "2023-12-04T08:19:00.000Z" } ], "analyses": { "subjects": [ "46C50" ], "keywords": [ "superorthogonality", "converse inequality" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }