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math.CA2021
Sharp decay estimates for degenerate and singular oscillatory integral operators: Homogeneous polynomial phases
Shaozhen Xu
In this paper, we consider the degenerate and singular oscillatory integral operator with a singular kernel which is not a Calderón-Zygmund kernel and satisfies suitable size and d…
math.CA2021
Sharp decay estimates for degenerate and singular oscillatory integral operators
Shaozhen Xu
We consider the following model of degenerate and singular oscillatory integral operators: \begin{equation*} Tf(x)=\int_{\mathbb{R}} e^{iλS(x,y)}K(x,y)ψ(x,y)f(y)dy, \end{equation*}…