{ "id": "2012.00575", "version": "v1", "published": "2020-12-01T15:32:20.000Z", "updated": "2020-12-01T15:32:20.000Z", "title": "A note on two weight commutators of maximal functions on spaces of homogeneous type", "authors": [ "Ruming Gong", "Manasa N. Vempati", "Qingyan Wu" ], "comment": "arXiv admin note: text overlap with arXiv:1809.07942", "categories": [ "math.FA", "math.CA" ], "abstract": "We study the two weight quantitative estimates for the commutator of maximal functions and the maximal commutators with respect to the symbol in weighted BMO space on spaces of homogeneous type. These commutators turn out to be controlled by the sparse operators in the setting of space of homogeneous type. The lower bound of the maximal commutator is also obtained.", "revisions": [ { "version": "v1", "updated": "2020-12-01T15:32:20.000Z" } ], "analyses": { "keywords": [ "homogeneous type", "maximal functions", "weight commutators", "maximal commutator", "commutators turn" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }