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math.CA2024
On almost everywhere convergence of planar Bochner-Riesz means
Xiaochun Li, Shukun Wu
We demonstrate the almost everywhere convergence of the planar Bochner-Riesz means for functions in the optimal range when . This is achieved by establishing…
math.CA2024
A study guide for "On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" after T. Orponen and P. Shmerkin
Jacob B. Fiedler, Guo-Dong Hong, Donggeun Ryou +1
This article is a study guide for ``On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane" by Orponen and Shmerkin. We begin by introducing Fursten…
math.CA2024
A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem
Shengwen Gan, Shukun Wu
We prove some weighted -decoupling estimates when . As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz…