Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz
dc.creator | Mena Arias, Darío Alberto | |
dc.date.accessioned | 2023-10-06T19:53:46Z | |
dc.date.available | 2023-10-06T19:53:46Z | |
dc.date.issued | 2019-06-05 | |
dc.description.abstract | 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. | es_ES |
dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) | es_ES |
dc.identifier.uri | https://hdl.handle.net/10669/90090 | |
dc.language.iso | eng | es_ES |
dc.rights | acceso abierto | |
dc.source | Conference in Harmonic Analysis and PDEs. Helsinki, Finlandia. | es_ES |
dc.subject | MATHEMATICS | es_ES |
dc.title | Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz | es_ES |
dc.type | presentación de congreso | es_ES |