The Bilinear Bochner-Riesz Operator at the Critical Index
We study boundedness properties for the bilinear Bochner-Riesz operator at the critical index. Starting from the weighted estimate previously established by Jotsaroop, Shrivastava, and Shuin, we develop a technique that combines quantitative bilinear Rubio de Francia extrapolation with a suitable bi...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/130376 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/130376 |
| Access Level: | acceso abierto |
| Palabra clave: | Bilinear Bochner-Riesz operator Yano extrapolation Rubio de Francia extrapolation Muckenhoupt weights Endpoint estimates Matemáticas (Matemáticas) Análisis matemático 12 Matemáticas |
| Sumario: | We study boundedness properties for the bilinear Bochner-Riesz operator at the critical index. Starting from the weighted estimate previously established by Jotsaroop, Shrivastava, and Shuin, we develop a technique that combines quantitative bilinear Rubio de Francia extrapolation with a suitable bilinear version of Yano’s extrapolation theorem. This method yields a range of new weighted endpoint estimates. Our results cover all open endpoints and include both one-weight and two-weight inequalities. |
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