Weighted estimates for Bochner-Riesz operators on Lorentz spaces
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...
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2022 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/91123 |
| Online Access: | https://hdl.handle.net/20.500.14352/91123 |
| Access Level: | Open access |
| Keyword: | Bochner-Riesz operators Muchenhoupt weights Restricted weak type estrapolation Hörmander multipliers Rough operators Weighted classical Lorentz spaces Análisis matemático 12 Matemáticas |
| Summary: | 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<∞. |
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