Hyerim Ko

activity

20152025

most citedCircular average relative to fractal measures

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

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5 papers · 1 filter

math.AP2025

Maximal estimates for orthonormal systems of wave equations with sharp regularity

Hyerim Ko, Sanghyuk Lee, Shobu Shiraki

We study maximal estimates for the wave equation with orthonormal initial data. In dimension $d = 3$ , we establish optimal results with the sharp regularity exponent up to the endpoi…

math.AP2025

Maximal estimates for orthonormal systems of wave equations

Shinya Kinoshita, Hyerim Ko, Shobu Shiraki

This paper investigates maximal estimates of the wave operators for orthonormal families of initial data. We extend the classical maximal estimates for the wave operator by making…

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.AP2018★ 3 cited

Pointwise convergence of the fractional Schrödinger equation in $R^{2}$

Chu-hee Cho, Hyerim Ko

We investigate the pointwise convergence of the solution to the fractional Schrödinger equation in $R^{2}$ . By establishing $H^{s} (R^{2}) - L^{3} (R^{2})$ estimates for…

math.AP2015★ 1 cited

Fourier transform and regularity of characteristic functions

Hyerim Ko, Sanghyuk Lee

Let $E$ be a bounded domain in $R^{d}$ . We study regularity property of $χ_{E}$ and integrability of $χ_{E}$ when its boundary $\partial E$ satisfies some conditions.…