An improved maximal inequality for 2D fractional order Schrödinger operators

Changxing Miao, Jianwei Yang, Jiqiang Zheng

The local maximal inequality for the Schrödinger operators of order $\a>1$ is shown to be bounded from $H^s({\mathbb{R}}^2)$ to $L^2$ for any $s>\frac{3}{8}$. This improves the previous result o…