{ "id": "2408.00013", "version": "v1", "published": "2024-07-27T02:35:20.000Z", "updated": "2024-07-27T02:35:20.000Z", "title": "Factorizations and Power Weighted Rellich and Hardy--Rellich-Type Inequalities", "authors": [ "Fritz Gesztesy", "Michael M. H. Pang", "Jake Parmentier", "Jonathan Stanfill" ], "comment": "36 pages", "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We revisit and extend a variety of inequalities related to power weighted Rellich and Hardy--Rellich inequalities, including an inequality due to Schmincke.", "revisions": [ { "version": "v1", "updated": "2024-07-27T02:35:20.000Z" } ], "analyses": { "subjects": [ "35A23", "35J30", "47A63", "47F05" ], "keywords": [ "power weighted rellich", "inequality", "hardy-rellich-type inequalities" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable" } } }