On pointwise convergence of cone multipliers

For p≥ 2, and λ>max{n| 1p- 12|-12, 0}, we prove the pointwise convergence of cone multipliers, i.e. lim_t→∞T_t^λ(f)→ f a.e., where f∈ L^p(ℝ^n) satisfies supp f⊂{ξ∈ℝ^n: 1<|ξ_n|<2}. Our main tools are weighted estimates for maximal cone operators, which are consequences of trace inequalities for cones.