Browsing 2023 by MSC "42"

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Bochner-Riesz Means at the Critical Index: Weighted and Sparse Bounds

[OWP-2023-16] Beltran, David; Roos, Joris; Seeger, Andreas (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)

We 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 ...
A Note on Endpoint Bochner-Riesz Estimates

[OWP-2023-17] Beltran, David; Roos, Joris; Seeger, Andreas (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)

We revisit an $\varepsilon$ -removal argument of Tao to obtain sharp $L^p \to L^r(L^p)$ estimates for sums of Bochner-Riesz bumps which are conditional on non-endpoint bounds for single scale bumps. These can be used to ...