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oai:docta.ucm.es:20.500.14352/911232024-11-04T15:04:25Zcom_20.500.14352_14col_20.500.14352_15

Baena Miret, Sergi Carro Rossell, María Jesús 2023-12-11T11:02:35Z 2023-12-11T11:02:35Z 2022-02-28 Baena-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.2022.10 https://hdl.handle.net/20.500.14352/91123 https//doi.org/10.1017/prm.2022.10 We 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<∞. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 International Weighted estimates for Bochner-Riesz operators on Lorentz spaces journal article