13 citations · 25 across the 5 of their papers we have counts for
5 papers
Restriction estimates for surfaces with negative curvature in
Shaoming Guo, Diankun Liu, Yakun Xi
In , we prove that restriction estimates associated with smooth surfaces with negative Gaussian curvature hold for all and $q'<\frac{p…
The (local) geometry of oscillatory integrals on manifolds: Dimension three
Song Dai, Liuwei Gong, Shaoming Guo
Sogge studied Kakeya problems on two extreme types of three dimensional Riemannian manifolds: Manifolds with the most symmetries (manifolds of constant sectional curvature) and man…
Curved Kakeya sets for generic phases in odd dimensions
Shaoming Guo, Diankun Liu, Yakun Xi
We show that for each odd integer , there is an open dense subset of Hörmander phase functions in for which the associated curved Kakeya sets have Hausdorff…
A short proof of decoupling for the moment curve
Shaoming Guo, Zane Kun Li, Po-Lam Yung +1
We give a short and elementary proof of the decoupling inequality for the moment curve in , using a bilinear approach inspired by the nested efficient cong…
Polynomial Carleson operators along monomial curves in the plane
Shaoming Guo, Lillian B. Pierce, Joris Roos +1
We prove bounds for partial polynomial Carleson operators along monomial curves in the plane with a phase polynomial consisting of a single monomial.…