Restriction Theorem for Oscillatory Integral Operator with Certain Polynomial Phase

Shaozhen Xu, Dunyan Yan

We consider the following oscillatory integral operator \begin{equation}\label{opera-defi-1} T_{α,m}f(x)=\int_{\mathbb R^n}e^{i(x_1^{α_1} y_1^m+\cdots+x_n^{α_n} y_n^m)}f(y)dy, \end…