Jongchon Kim

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20112026

most citedSome remarks on Fourier restriction estimates

18 citations · 54 across the 16 of their papers we have counts for

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math.CA2019★ 3 cited

$L^{2}$ Bounds for a maximal directional Hilbert transform

Jongchon Kim, Malabika Pramanik

Given any finite direction set $Ω$ of cardinality $N$ in Euclidean space, we consider the maximal directional Hilbert transform $H_{Ω}$ associated to this direction set. Our main res…

math.CA2019★ 11 cited

Lower bounds for estimates of the Schrödinger maximal function

Xiumin Du, Jongchon Kim, Hong Wang +1

We give new lower bounds for $L^{p}$ estimates of the Schrödinger maximal function by generalizing an example of Bourgain.

L2 Bounds for a maximal directional Hilbert transform

Lower bounds for estimates of the Schrödinger maximal function

$L^{2}$ Bounds for a maximal directional Hilbert transform