4 papers
Two-parameter variational estimates for averages over tori
Juyoung Lee, Sanghyuk Lee, Feng Zhang +1
One-parameter variational inequalities are well developed, whereas their multi-parameter counterparts remain much less understood. We explore two-parameter variational inequalities…
Endpoint estimates for the fractal circular maximal function and related local smoothing
Sanghyuk Lee, Luz Roncal, Feng Zhang +1
Sharp -- estimates for the spherical maximal function over dilation sets of fractal dimensions, including the endpoint estimates, were recently proved by Anderson--Hughes…
-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement
Shuijiang Zhao
In this paper, we study the spherical maximal operator over , restricted to radial functions. In higher dimensions , we establish a complete rang…
Sharp convergence rate on Schrödinger type operators
Meng Wang, Shuijiang Zhao
For Schrödinger type operators in one dimension, we consider the relationship between the convergence rate and the regularity for initial data. By establishing the associated frequ…