  We consider the setting of manifolds with ends which are obtained by compact
perturbation (gluing) of ends of the form $\mathbb{R}^{n_i}\times
\mathcal{M}_i$. We investigate family of vertical resolvent
$\{\sqrt{t}\nabla(1+t\Delta)^{-m}\}_{t>0}$ where $m\geq1$. We show that the
family is uniformly continuous on all $L^p$ for $1\le p \le \min_{i}n_i$.
Interestingly this is a closed-end condition in the considered setting. We
prove that the corresponding Maximal function is bounded in the same range
except that it is only weak-type $(1,1)$ for $p=1$. The Fefferman-Stein
vector-valued maximal function is again of weak-type $(1,1)$ but bounded if and
only if $1<p<\min_{i}n_i$, and not at $p=\min_{i}n_i$.
