3 papers
math.CA2026
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}{2…
math.CA2026
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…
math.CA2025
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…