Sparse bounds for Bochner–Riesz multiplers
The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the Bochner–Riesz conjecture in dimensions n≥3. In dimension n=2, we prove a sharp r...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Idioma: | inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/85361 |
| Acceso en línea: | https://link.springer.com/article/10.1007/s00041-017-9590-2 https://hdl.handle.net/10669/85361 |
| Access Level: | acceso abierto |
| Palabra clave: | Bochner-Riesz Multipliers Sparse bounds Weighted inequalities |
| Sumario: | The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the Bochner–Riesz conjecture in dimensions n≥3. In dimension n=2, we prove a sharp range of sparse bounds. The method of proof is based upon a ‘single scale’ analysis, and yields the sharpest known weighted estimates for the Bochner–Riesz multipliers in the category of Muckenhoupt weights. |
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