Sparse bounds for Bochner–Riesz multiplers
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| Auteurs: | , , |
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| Format: | artículo original |
| Date de publication: | 2019 |
| Description: | 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. |
| Pays: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Langue: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/85361 |
| Accès en ligne: | https://link.springer.com/article/10.1007/s00041-017-9590-2 https://hdl.handle.net/10669/85361 |
| Mots-clés: | Bochner-Riesz Multipliers Sparse bounds Weighted inequalities |