{ "id": "1411.0603", "version": "v1", "published": "2014-11-03T18:51:03.000Z", "updated": "2014-11-03T18:51:03.000Z", "title": "A boundary Schwarz lemma for holomorphic mappings from the polydisc to the unit ball", "authors": [ "Yang Liu", "Zhihua Chen", "Yifei Pan" ], "comment": "12 pages", "categories": [ "math.CV" ], "abstract": "In this paper, we prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any dimensions. For the special case of one complex variable, the obtained results give the classic boundary Schwarz lemma.", "revisions": [ { "version": "v1", "updated": "2014-11-03T18:51:03.000Z" } ], "analyses": { "subjects": [ "32H02", "30C80" ], "keywords": [ "holomorphic mappings", "unit ball", "classic boundary schwarz lemma", "general schwarz lemma", "special case" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }