Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases

Jayden Lang, Wan Tang

Consider the oscillatory integral operators \begin{equation} T_λf(y)=\int_{\mathbb{R}^{2}}e^{iλS\left( x_{1},x_{2}% ,y\right) }Φ(x_{1},x_{2},y)f(x_{1},x_{2})dx_{1}dx_{2},\nonumber…