2 papers
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.CA2023
A Stein-Tomas type estimate and a decoupling inequality
Xiaochun Li
A Stein-Tomas type inequality and a (weak) decoupling inequality are proved by using the polynomial partitioning method. Both estimates are related closely to Waring's problem.