Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz

 

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Bibliographische Detailangaben
Verfasser: Mena Arias, Darío Alberto
Format: presentación de congreso
Publikationsdatum:2019
Beschreibung: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.
Land:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Sprache:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90090
Online Zugang:https://hdl.handle.net/10669/90090
Stichwort:MATHEMATICS