4 citations · 6 across the 4 of their papers we have counts for
4 papers
An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem
Xiaochun Li, Xuerui Yang
Using Bombieri-Iwaniec method, we establish an improvement on both Gauss's Circle Problem and Dirichlet's Divisor Problem. More precisely, we derive a new estimate for the first sp…
Discrete Fourier restriction associated with KdV equations
Yi Hu, Xiaochun Li
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the peri…
Discrete Fourier restriction associated with Schrodinger equations
Yi Hu, Xiaochun Li
In this paper, we present a different proof on the discrete Fourier restriction. The proof recovers Bourgain's level set result on Strichartz estimates associated with Schrödinger…
Generalizations of the Carleson-Hunt theorem I. The classical singularity case
Xiaochun Li, Camil Muscalu
In this article we prove L^p estimates for a general maximal operator, which extend both the classical Coifman-Meyer and Carleson-Hunt theorems in harmonic analysis