  For $p\ge 2$, and $\lambda>\max\{n|\tfrac 1p-\tfrac 12|-\tfrac12, 0\}$, we
prove the pointwise convergence of cone multipliers, i.e. $$
\lim_{t\to\infty}T_t^\lambda(f)\to f \text{ a.e.},$$ where $f\in L^p(\mathbb
R^n)$ satisfies $supp\ \widehat f\subset\{\xi\in\mathbb R^n:\ 1<|\xi_n|<2\}$.
Our main tools are weighted estimates for maximal cone operators, which are
consequences of trace inequalities for cones.
