Boundedness of maximal functions on non-doubling manifolds with ends

Xuan Thinh Duong, Ji Li, Adam Sikora

Let $M$ be a manifold with ends constructed in \cite{GS} and $\Delta$ be the Laplace-Beltrami operator on $M$. In this note, we show the weak type $(1,1)$ and $L^p$ boundedness of the H…