Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz
Gorde:
| Egilea: | |
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| Formatua: | presentación de congreso |
| Argitaratze data: | 2019 |
| Deskribapena: | The Bochner-Riesz means arise from the study of convergence of Fourier series. Analyzing the behavior of its maximal operator, we can understand its pointwise convergence. We obtain some preliminary results stablishing a collection of sparse bounds for the maximal Bochner-Riesz operators. The proof relies on spherical restriction estimates for dimensions bigger than two, along with more specialized arguments for dimension two. Our sparse bounds immediately imply a range of weighted inequalities with the weights lying in the intersection of certain Muckenhoupt and reverse Holder classes. |
| Herria: | Kérwá |
| Erakundea: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Hizkuntza: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/90090 |
| Sarrera elektronikoa: | https://hdl.handle.net/10669/90090 |
| Gako-hitza: | MATHEMATICS |