Hyerim Ko

activity

20152025

most citedCircular average relative to fractal measures

4 citations · 11 across the 14 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

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★ 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.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.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.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>…