On pointwise convergence of cone multipliers

Peng Chen, Danqing He, Xiaochun Li +1

For $p\ge 2$, and $\hat{I}»>\max \{n|\frac{1}{p}-\frac{1}{2}|-\frac{1}{2},0\}$, we prove the pointwise convergence of cone multipliers, i.e. $$\underset{t\to \infty }{\lim }{T}_t^{\hat{I}}»(f)\to f\text{ a.e.},$$ w…