Bochner-Riesz Means at the Critical Index: Weighted and Sparse Bounds
| dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | |
| dc.bibliographicCitation.volume | 16 | |
| dc.contributor.author | Beltran, David | |
| dc.contributor.author | Roos, Joris | |
| dc.contributor.author | Seeger, Andreas | |
| dc.date.accessioned | 2024-10-17T05:47:42Z | |
| dc.date.available | 2024-10-17T05:47:42Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We consider Bochner-Riesz means on weighted Lp spaces, at the critical index λ(p)=d(1/p−1/2)−1/2. For every A₁-weight we obtain an extension of Vargas' weak type (1,1) inequality in some range of p>1. To prove this result we establish new endpoint results for sparse domination. These are almost optimal in dimension d=2; partial results as well as conditional results are proved in higher dimensions. For the means of index λ∗=(d−1)/(2d+2) we prove fully optimal sparse bounds. | |
| dc.description.version | publishedVersion | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/16985 | |
| dc.identifier.uri | https://doi.org/10.34657/16007 | |
| dc.language.iso | eng | |
| dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | |
| dc.relation.doi | 10.14760/OWP-2023-16 | |
| dc.relation.issn | 1864-7596 | |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | |
| dc.subject | Bochner-Riesz Means | |
| dc.subject | Sparse Domination | |
| dc.subject | Endpoint Estimates | |
| dc.subject | Weighted Norm Estimates | |
| dc.subject | Convergence in Weighted Spaces | |
| dc.subject.ddc | 510 | |
| dc.title | Bochner-Riesz Means at the Critical Index: Weighted and Sparse Bounds | |
| dc.type | Report | |
| dc.type | Text |
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