Xianghong Chen

activity

20122025

most citedConvolution Powers of Salem Measures with Applications

17 citations · 22 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CA2023

On the generalized Hausdorff dimension of Besicovitch sets

Xianghong Chen, Lixin Yan, Yue Zhong

Keich (1999) showed that the sharp gauge function for the generalized Hausdorff dimension of Besicovitch sets in $R^{2}$ is between $r^{2} lo g 1/ r$ and $r^2(\log 1/r) (\log\log…

math.CA2023

On smoothing estimates for Schrödinger equations on product spaces $T^{m} \times R^{n}$

Xianghong Chen, Zihua Guo, Minxing Shen +1

Let $Δ_{T^{m} \times R^{n}}$ denote the Laplace-Beltrami operator on the product spaces $T^{m} \times R^{n}$ . In this article we show that $$ \left\|e^{it…

On the generalized Hausdorff dimension of Besicovitch sets

On smoothing estimates for Schrödinger equations on product spaces Tm×Rn

On smoothing estimates for Schrödinger equations on product spaces $T^{m} \times R^{n}$