On pointwise convergence of cone multipliers

For p≥ 2, and λ>max| 1p- 12|-12, 0\, we prove the pointwise convergence of cone multipliers, i.e. limt→∞Tₜ^λ(f)→ f a.e., where f∈ Lᵖ( Rⁿ) satisfies supp\ f⊂\ξ∈ Rⁿ:\ 1<|ξₙ|<2\. Our main tools are weighted estimates for maximal cone operators, which are consequences of trace inequalities for cones.