Shaoming Guo

collaborators

2 papers

math.CA2024

On a planar Pierce--Yung operator

David Beltran, Shaoming Guo, Jonathan Hickman

We show that the operator \begin{equation*} \mathcal{C} f(x,y) := \sup_{v\in \mathbb{R}} \Big|\mathrm{p.v.} \int_{\mathbb{R}} f(x-t, y-t^2) e^{i v t^3} \frac{\mathrm{d} t}{t} \Big|…

math.CA2024

Oscillatory integral operators and variable Schrödinger propagators: beyond the universal estimates

Mingfeng Chen, Shengwen Gan, Shaoming Guo +3

We consider a class of Hörmander-type oscillatory integral operators in $R^{n}$ for $n \geq 3$ odd with real analytic phase. We derive weak conditions on the phase which ens…