Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz

 

Guardado en:
Sonraí Bibleagrafaíochta
Údar: Mena Arias, Darío Alberto
Formáid: presentación de congreso
Fecha de Publicación:2019
Cur Síos: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.
País:Kérwá
Institiúid:Universidad de Costa Rica
Repositorio:Kérwá
Teanga:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90090
Rochtain Ar Líne:https://hdl.handle.net/10669/90090
Palabra clave:MATHEMATICS