{ "id": "1109.5764", "version": "v1", "published": "2011-09-27T02:30:28.000Z", "updated": "2011-09-27T02:30:28.000Z", "title": "Uniform Boundary Harnack Principle for Rotationally Symmetric Levy processes in General Open Sets", "authors": [ "Panki Kim", "Renming Song", "Zoran Vondracek" ], "comment": "21 Pages", "categories": [ "math.PR" ], "abstract": "In this paper we prove the uniform boundary Harnack principle in general open sets for harmonic functions with respect to a large class of rotationally symmetric purely discontinuous L\\'evy processes.", "revisions": [ { "version": "v1", "updated": "2011-09-27T02:30:28.000Z" } ], "analyses": { "subjects": [ "60J45", "60J25", "60J50" ], "keywords": [ "uniform boundary harnack principle", "rotationally symmetric levy processes", "general open sets", "purely discontinuous levy processes", "symmetric purely discontinuous levy" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s11425-012-4516-6", "journal": "Science in China A: Mathematics", "year": 2012, "month": "Nov", "volume": 55, "number": 11, "pages": 2317 }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012ScChA..55.2317K" } } }