Baena Miret, SergiCarro Rossell, María Jesús2023-12-112023-12-112022-02-28Baena-Miret S, Carro MJ. 2023 Weighted estimates for Bochner–Riesz operators on Lorentz spaces. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153, 654–678. (doi:10.1017/prm.2022.10)10.1017/prm.2022.10https://hdl.handle.net/20.500.14352/91123We present new estimates in the setting of weighted Lorentz spaces of operators satisfying a limited Rubio de Francia condition; namely T is bounded on Lp(v) for every v in an strictly smaller class of weights than the Muckenhoupt class Ap. Important examples will be the Bochner–Riesz operators BRλ with 0<λ<(n−1)/2, sparse operators, Hörmander multipliers with a limited regularity condition and rough operators with Ω∈Lr(Σ) , 1<r<∞.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Weighted estimates for Bochner-Riesz operators on Lorentz spacesjournal articlehttps//doi.org/10.1017/prm.2022.10open accessBochner-Riesz operatorsMuchenhoupt weightsRestricted weak type estrapolationHörmander multipliersRough operatorsWeighted classical Lorentz spacesAnálisis matemático12 Matemáticas