{ "id": "math/0502435", "version": "v1", "published": "2005-02-21T11:15:28.000Z", "updated": "2005-02-21T11:15:28.000Z", "title": "Dual Approach to Certain Questions for Weighted Spaces of Holomorphic Functions", "authors": [ "Bulat N. Khabibullin" ], "comment": "AMSTEX", "journal": "Israel Math. Conf. Proceedings (Tel-Aviv, Dec. 19, 1997), 15 (2001), P. 207-219", "categories": [ "math.CV", "math.FA" ], "abstract": "We set new dual problems for the weighted spaces of holomorphic functions of one variable in domains on the complex plane, namely: nontriviallity of a given space, description of zero sets, description of (non-)uniqueness sets, the representation of meromorphic functions as a quotient of holomorphic functions from a given space.", "revisions": [ { "version": "v1", "updated": "2005-02-21T11:15:28.000Z" } ], "analyses": { "subjects": [ "30D20", "30D35", "30H05", "31A05", "46E05" ], "keywords": [ "holomorphic functions", "weighted spaces", "dual approach", "complex plane", "dual problems" ], "tags": [ "journal article" ], "note": { "typesetting": "AMS-TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......2435K" } } }