Seheon Ham

activity

20112026

most citedRestriction Estimates for space curves with respect to general measures

22 citations · 41 across the 12 of their papers we have counts for

collaborators

12 papers

math.CA2026

On Rubio de Francia's maximal theorem

Seheon Ham, Jiwon Kah, Sanghyuk Lee +1

In his influential 1986 paper, Rubio de Francia established $L^{p}$ bounds for the maximal function generated by dilations of measures $μ$ whose Fourier transforms $μ$ satisf…

math.CA2025

Local smoothing and maximal estimates for average over surfaces of codimension 2 in $R^{4}$

Seheon Ham, Hyerim Ko

In this paper, we obtain local smoothing estimates for the averages over nondegenerate surfaces of codimension $2$ in $R^{4}$ . We make use of multilinear restriction estimate…

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★ 4 cited

Circular average relative to fractal measures

Seheon Ham, Hyerim Ko, Sanghyuk Lee

We prove new $L^{p}$ - $L^{q}$ estimates for averages over dilates of the circle with respect to $α$ -dimensional fractal measure, which unify different types of maximal estimates for th…

math.AP2021★ 1 cited

Dimension of divergence set of the wave equation

Seheon Ham, Hyerim Ko, Sanghyuk Lee

We consider the Hausdorff dimension of the divergence set on which the pointwise convergence $lim_{t \to 0} e^{i t - Δ} f (x) = f (x)$ fails when $f \in H^{s} (R^{d})$ …

math.AP2019★ 2 cited

Uniqueness in the Calderón problem and bilinear restriction estimates

Seheon Ham, Yehyun Kwon, Sanghyuk Lee

Uniqueness in the Calderón problem in dimension bigger than two was usually studied under the assumption that conductivity has bounded gradient. For conductivities with unbounded g…