Zur Kurzanzeige

dc.contributor.authorBeltran, David
dc.contributor.authorRoos, Joris
dc.contributor.authorSeeger, Andreas
dc.date.accessioned2023-11-27T08:30:23Z
dc.date.available2023-11-27T08:30:23Z
dc.date.issued2023-11-27
dc.identifier.urihttp://publications.mfo.de/handle/mfo/4085
dc.description.abstractWe consider Bochner-Riesz means on weighted $L^p$ spaces, at the critical index $\lambda(p)=d(\frac 1p-\frac 12)-\frac 12$. For every $A_1$-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 $\lambda_*= \frac{d-1}{2d+2}$ we prove fully optimal sparse bounds.en_US
dc.description.sponsorshipThis research was supported through the program Oberwolfach Research Fellows by Mathematisches Forschungsinstitut Oberwolfach in 2023. The authors were supported in part by National Science Foundation grants DMS-1954479 (D.B.), DMS-2154835 (J.R.), DMS-2054220 (A.S.), and by the AEI grants RYC2020-029151-I and PID2022-140977NA-I00 (D.B.).en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2023-16
dc.subjectBochner-Riesz Meansen_US
dc.subjectSparse Dominationen_US
dc.subjectEndpoint Estimatesen_US
dc.subjectWeighted Norm Estimatesen_US
dc.subjectConvergence in Weighted Spacesen_US
dc.titleBochner-Riesz Means at the Critical Index: Weighted and Sparse Boundsen_US
dc.typePreprinten_US
dc.rights.licenseDieses 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.de
dc.rights.licenseThis 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.en
dc.identifier.doi10.14760/OWP-2023-16
local.scientificprogramOWRF 2023en_US
local.series.idOWP-2023-16en_US
local.subject.msc42en_US
dc.identifier.urnurn:nbn:de:101:1-2024032009335775010256
dc.identifier.ppn1873410646


Dateien zu dieser Ressource

Thumbnail

Das Dokument erscheint in:

Zur Kurzanzeige