Sewook Oh

activity

20202026

most citedSharp Sobolev regularity of restricted X-ray transforms

1 citations · 2 across the 11 of their papers we have counts for

collaborators

11 papers

math.CA2026

Maximal averages and non-transversality

Jin Bong Lee, Juyoung Lee, Jeongtae Oh +1

We investigate the $L^{p}$ mapping properties of maximal functions associated with analytic hypersurfaces in $R^{d}$ , with a particular emphasis on the role of transversality.…

math.CA2025

Damping oscillatory Integrals of convex analytic functions

Sanghyuk Lee, Sewook Oh

Let $H \subset R^{d + 1}$ be a compact, convex, analytic hypersurface of finite type with a smooth measure $σ$ on $H$ . Let $κ$ denote the Gaussian curvature on $H$ . We consider the o…

math.CA2025

Maximal estimates for averages over degenerate hypersurfaces

Sewook Oh

We study $L^{p}$ boundedness of the maximal average over dilations of a smooth hypersurface $S$ . When the decay rate of the Fourier transform of a measure on $S$ is $1/2$ , we establi…

math.AP2024

Semiclassical $L^{p}$ quasimode restriction estimates in two dimensions

Sewook Oh, Jaehyeon Ryu

We establish the $L^{p}$ restriction estimates for quasimodes on a smooth curve in two dimensions. Our estimates are sharp for all smooth curves. As an application, we address $L^{p}$ …

math.CA2023

$L^{p}$ bound on the strong spherical maximal function

Juyoung Lee, Sanghyuk Lee, Sewook Oh

In this note we show that the strong spherical maximal function in $R^{d}$ is bounded on $L^{p}$ if $p > 2 (d + 1) / (d - 1)$ for $d \geq 3$ .

math.CA2023

The elliptic maximal function

Juyoung Lee, Sanghyuk Lee, Sewook Oh

We study the elliptic maximal functions defined by averages over ellipses and rotated ellipses which are multi-parametric variants of the circular maximal function. We prove that t…

math.CA2022

Remarks on dimension of unions of curves

Seheon Ham, Hyerim Ko, Sanghyuk Lee +1

We study an analogue of Marstrand's circle packing problem for curves in higher dimensions. We consider collections of curves which are generated by translation and dilation of a c…

math.CA2021★ 1 cited

Sharp Sobolev regularity of restricted X-ray transforms

Hyerim Ko, Sanghyuk Lee, Sewook Oh

We study $L^{p}$ -Sobolev regularity estimate for the restricted X-ray transforms generated by nondegenerate curves. Making use of the inductive strategy in the recent work by the aut…

math.CA2021★ 1 cited

Sharp smoothing properties of averages over curves

Hyerim Ko, Sanghyuk Lee, Sewook Oh

We prove sharp smoothing properties of the averaging operator defined by convolution with a measure on a smooth nondegenerate curve $γ$ in $R^{d}$ , $d \geq 3$ . Despite the simp…

math.CA2021

Maximal estimates for averages over space curves

Hyerim Ko, Sanghyuk Lee, Sewook Oh

Let $M$ be the maximal operator associated to a smooth curve in $R^{3}$ which has nonvanishing curvature and torsion. We prove that $M$ is bounded on $L^{p}$ if and only if $p>…

math.CA2020

Uniform stationary phase estimate with limited smoothness

Sewook Oh, Sanghyuk Lee

In this paper, we consider the uniform estimate for the oscillatory integral with stationary phase, which was previously studied by Alazard-Burq-Zuily. We significantly reduce the…

Maximal averages and non-transversality

Damping oscillatory Integrals of convex analytic functions

Maximal estimates for averages over degenerate hypersurfaces

Semiclassical Lp quasimode restriction estimates in two dimensions

Lp bound on the strong spherical maximal function

The elliptic maximal function

Remarks on dimension of unions of curves

Sharp Sobolev regularity of restricted X-ray transforms

Sharp smoothing properties of averages over curves

Maximal estimates for averages over space curves

Uniform stationary phase estimate with limited smoothness

Semiclassical $L^{p}$ quasimode restriction estimates in two dimensions

$L^{p}$ bound on the strong spherical maximal function