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

Showing 2021Show all

3 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★ 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>…