{ "id": "1507.02559", "version": "v1", "published": "2015-07-09T15:34:54.000Z", "updated": "2015-07-09T15:34:54.000Z", "title": "Elementary proofs of one weight norm inequalities for fractional integral operators and commutators", "authors": [ "David Cruz-Uribe" ], "categories": [ "math.CA" ], "abstract": "We give new and elementary proofs of one weight norm inequalities for fractional integral operators and commutators. Our proofs are based on the machinery of dyadic grids and sparse operators used in the proof of the A2 conjecture.", "revisions": [ { "version": "v1", "updated": "2015-07-09T15:34:54.000Z" } ], "analyses": { "subjects": [ "42B25", "42B30", "42B35" ], "keywords": [ "weight norm inequalities", "fractional integral operators", "elementary proofs", "commutators", "dyadic grids" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150702559C" } } }