Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awdur: Mena Arias, Darío Alberto
Fformat: presentación de congreso
Dyddiad Cyhoeddi:2019
Disgrifiad: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.
Gwlad:Kérwá
Sefydliad:Universidad de Costa Rica
Repositorio:Kérwá
Iaith:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90090
Mynediad Ar-lein:https://hdl.handle.net/10669/90090
Allweddair:MATHEMATICS