Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz

 

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Bibliografiska uppgifter
Upphovsman: Mena Arias, Darío Alberto
Materialtyp: presentación de congreso
Utgivningstid:2019
Beskrivning: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
Organisation:Universidad de Costa Rica
Repositorio:Kérwá
Språk:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90090
Länkar:https://hdl.handle.net/10669/90090
Nyckelord:MATHEMATICS