{ "id": "1012.2816", "version": "v1", "published": "2010-12-13T17:58:24.000Z", "updated": "2010-12-13T17:58:24.000Z", "title": "Toeplitz operators on Bergman spaces of polyanalytic functions", "authors": [ "Zeljko Cuckovic", "Trieu Le" ], "comment": "15 pages", "doi": "10.1112/blms/bds024", "categories": [ "math.FA", "math.CV" ], "abstract": "We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols. We also raise and discuss some open questions.", "revisions": [ { "version": "v1", "updated": "2010-12-13T17:58:24.000Z" } ], "analyses": { "keywords": [ "toeplitz operators", "bergman spaces", "polyanalytic functions", "study algebraic properties", "open questions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.2816C" } } }