Jongchon Kim

activity

20172019

most citedSome remarks on Fourier restriction estimates

18 citations · 18 across the 1 of their papers we have counts for

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math.CA2019

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.

math.CA2018

Riesz means of Fourier series and integrals: Strong summability at the critical index

Jongchon Kim, Andreas Seeger

We consider spherical Riesz means of multiple Fourier series and some generalizations. While almost everywhere convergence of Riesz means at the critical index $(d - 1) /2$ may fail f…

math.CA2017★ 18 cited

Some remarks on Fourier restriction estimates

Jongchon Kim

We provide $L^{p} \to L^{q}$ refinements on some Fourier restriction estimates obtained using polynomial partitioning. Let $S \subset R^{3}$ be a compact $C^{\infty}$ surface with…