Ruixiang Zhang

collaborators

2 papers

math.CA2024

New improvement to Falconer distance set problem in higher dimensions

Xiumin Du, Yumeng Ou, Kevin Ren +1

We show that if a compact set $E \subset R^{d}$ has Hausdorff dimension larger than $\frac{d}{2} + \frac{1}{4} - \frac{1}{8 d + 4}$ , where $d \geq 3$ , then there is a point $x \in E$ …

math.CA2024

$L^{p}$ weighted Fourier restriction estimates

Xiumin Du, Jianhui Li, Hong Wang +1

We obtain some sharp $L^{p}$ weighted Fourier restriction estimates of the form $∥ E f ∥_{L^{p} (B^{n + 1} (0, R), H d x)} ⪅ R^{2} ∥ f ∥_{2}$ , where $E$ is the Fourier extension operator…

New improvement to Falconer distance set problem in higher dimensions

Lp weighted Fourier restriction estimates

$L^{p}$ weighted Fourier restriction estimates