Endpoint estimates for maximal operators associated to the wave equation

Chu-Hee Cho, Sanghyuk Lee, Wenjuan Li

We consider the $H^s$--$L^q$ maximal estimates associated to the wave operator \begin{equation*} e^{ it\sqrt{-Δ}}f(x) = \frac{1}{(2π)^d}\int_{\mathbb{R}^d} e^{i(x \cdot ξ\, + t|ξ…