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math.CA2026
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…
math.CA2025
Sharp decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases
Jayden Lang, Wan Tang
In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the decay rate of 3/8 given in (Arch…