3 papers
math.CA2026
Sharp local smoothing estimates for curve averages
Shengwen Gan, Dominique Maldague, Changkeun Oh
We prove sharp local smoothing estimates for curve averages in all dimensions. As a corollary, we prove the sharp boundedness of the helical maximal operator in $\mathbb{R}^4…
math.CA2025
On decoupling and restriction estimates
Changkeun Oh
In this short note, we prove that the restriction conjecture for the (hyperbolic) paraboloid in implies the -decoupling theorem for the (hyperbolic) paraboloid…
math.CA2024
On the small cap decoupling for the moment curve in
Dominique Maldague, Changkeun Oh
This paper proves sharp small cap decoupling estimates for the moment curve in the remaining small cap parameter ranges for $\m…