Sparse bounds for Bochner-Riesz and Maximal Bocher-Riesz

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف: Mena Arias, Darío Alberto
التنسيق: presentación de congreso
تاريخ النشر:2019
الوصف: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.
البلد:Kérwá
المؤسسة:Universidad de Costa Rica
Repositorio:Kérwá
اللغة:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/90090
الوصول للمادة أونلاين:https://hdl.handle.net/10669/90090
كلمة مفتاحية:MATHEMATICS