{ "id": "1409.1747", "version": "v1", "published": "2014-09-05T11:44:49.000Z", "updated": "2014-09-05T11:44:49.000Z", "title": "A remark on the Cauchy-Riemann operator", "authors": [ "Ihyeok Seo" ], "categories": [ "math.AP" ], "abstract": "In this note we obtain a unique continuation result for the differential inequality $|\\overline{\\partial}u|\\leq|Vu|$, where $\\overline{\\partial}=(i\\partial_y+\\partial_x)/2$ denotes the Cauchy-Riemann operator and $V(x,y)$ is a function in $L^2(\\mathbb{R}^2)$.", "revisions": [ { "version": "v1", "updated": "2014-09-05T11:44:49.000Z" } ], "analyses": { "keywords": [ "cauchy-riemann operator", "unique continuation result", "differential inequality" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.1747S" } } }