Sparse bounds for Bochner–Riesz multiplers

 

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Détails bibliographiques
Auteurs: Lacey, Michael T., Mena Arias, Darío Alberto, Reguera, Maria Carmen
Format: artículo original
Date de publication:2019
Description:The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the Bochner–Riesz conjecture in dimensions n≥3. In dimension n=2, we prove a sharp range of sparse bounds. The method of proof is based upon a ‘single scale’ analysis, and yields the sharpest known weighted estimates for the Bochner–Riesz multipliers in the category of Muckenhoupt weights.
Pays:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
Langue:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/85361
Accès en ligne:https://link.springer.com/article/10.1007/s00041-017-9590-2
https://hdl.handle.net/10669/85361
Mots-clés:Bochner-Riesz
Multipliers
Sparse bounds
Weighted inequalities