Bochner-Riesz means at the critical index: Weighted and sparse bounds

David Beltran, Joris Roos, Andreas Seeger

We consider Bochner-Riesz means on weighted $L^p$ spaces, at the critical index $\lambda (p)=d(\frac{1}{p}-\frac{1}{2})-\frac{1}{2}$. For every $A_1$-weight we obtain an extension of Vargas' weak…