Shuijiang Zhao

collaborators

3 papers

math.CA2025

Endpoint estimates for the fractal circular maximal function and related local smoothing

Sanghyuk Lee, Luz Roncal, Feng Zhang +1

Sharp $L^{p}$ -- $L^{q}$ estimates for the spherical maximal function over dilation sets of fractal dimensions, including the endpoint estimates, were recently proved by Anderson--Hughes…

math.CA2024

$L^{p}$ -improving bounds for spherical maximal operators over restricted dilation sets: radial improvement

Shuijiang Zhao

In this paper, we study the spherical maximal operator $M_{E}$ over $E \subset [1, 2]$ , restricted to radial functions. In higher dimensions $d \geq 3$ , we establish a complete rang…

math.AP2024

Sharp convergence rate on SchrÃ¶dinger type operators

Meng Wang, Shuijiang Zhao

For SchrÃ¶dinger type operators in one dimension, we consider the relationship between the convergence rate and the regularity for initial data. By establishing the associated freq…

Endpoint estimates for the fractal circular maximal function and related local smoothing

Lp-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement

Sharp convergence rate on SchrÃ¶dinger type operators

$L^{p}$ -improving bounds for spherical maximal operators over restricted dilation sets: radial improvement