{ "id": "1412.0483", "version": "v1", "published": "2014-12-01T14:11:02.000Z", "updated": "2014-12-01T14:11:02.000Z", "title": "A new $A_p$-$A_\\infty$ estimate for Calderón-Zygmund operators in spaces of homogeneous type", "authors": [ "Li Kangwei" ], "categories": [ "math.CA" ], "abstract": "In this note, we study the $A_p$-$A_\\infty$ estimate for Calder\\'on-Zygmund operators in terms of the weak $A_\\infty$ characteristics in spaces of homogeneous type. The weak $A_\\infty$ class was introduced recently by Anderson, Hyt\\\"onen and Tapiola. Our estimate is new even in the Euclidean space.", "revisions": [ { "version": "v1", "updated": "2014-12-01T14:11:02.000Z" } ], "analyses": { "keywords": [ "homogeneous type", "calderón-zygmund operators", "calderon-zygmund operators", "euclidean space" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.0483L" } } }